diff --git a/moto/apigateway/models.py b/moto/apigateway/models.py
index db4746a0e..41a49e361 100644
--- a/moto/apigateway/models.py
+++ b/moto/apigateway/models.py
@@ -10,6 +10,7 @@ from boto3.session import Session
 import responses
 from moto.core import BaseBackend, BaseModel
 from .utils import create_id
+from moto.core.utils import path_url
 from .exceptions import StageNotFoundException, ApiKeyNotFoundException
 
 STAGE_URL = "https://{api_id}.execute-api.{region_name}.amazonaws.com/{stage_name}"
@@ -372,7 +373,8 @@ class RestAPI(BaseModel):
         # TODO deal with no matching resource
 
     def resource_callback(self, request):
-        path_after_stage_name = '/'.join(request.path_url.split("/")[2:])
+        path = path_url(request.url)
+        path_after_stage_name = '/'.join(path.split("/")[2:])
         if not path_after_stage_name:
             path_after_stage_name = '/'
 
diff --git a/moto/awslambda/responses.py b/moto/awslambda/responses.py
index 2c8a54523..1a9a4df83 100644
--- a/moto/awslambda/responses.py
+++ b/moto/awslambda/responses.py
@@ -7,7 +7,7 @@ try:
 except ImportError:
     from urllib.parse import unquote
 
-from moto.core.utils import amz_crc32, amzn_request_id
+from moto.core.utils import amz_crc32, amzn_request_id, path_url
 from moto.core.responses import BaseResponse
 from .models import lambda_backends
 
@@ -94,7 +94,7 @@ class LambdaResponse(BaseResponse):
             return self._add_policy(request, full_url, headers)
 
     def _add_policy(self, request, full_url, headers):
-        path = request.path if hasattr(request, 'path') else request.path_url
+        path = request.path if hasattr(request, 'path') else path_url(request.url)
         function_name = path.split('/')[-2]
         if self.lambda_backend.get_function(function_name):
             policy = request.body.decode('utf8')
@@ -104,7 +104,7 @@ class LambdaResponse(BaseResponse):
             return 404, {}, "{}"
 
     def _get_policy(self, request, full_url, headers):
-        path = request.path if hasattr(request, 'path') else request.path_url
+        path = request.path if hasattr(request, 'path') else path_url(request.url)
         function_name = path.split('/')[-2]
         if self.lambda_backend.get_function(function_name):
             lambda_function = self.lambda_backend.get_function(function_name)
diff --git a/moto/core/models.py b/moto/core/models.py
index adc06a9c0..b12374fdd 100644
--- a/moto/core/models.py
+++ b/moto/core/models.py
@@ -2,11 +2,14 @@
 from __future__ import unicode_literals
 from __future__ import absolute_import
 
-from collections import defaultdict
 import functools
 import inspect
 import re
 import six
+from io import BytesIO
+from collections import defaultdict
+from botocore.handlers import BUILTIN_HANDLERS
+from botocore.awsrequest import AWSResponse
 
 from moto import settings
 import responses
@@ -233,7 +236,86 @@ class ResponsesMockAWS(BaseMockAWS):
             pass
 
 
-MockAWS = ResponsesMockAWS
+BOTOCORE_HTTP_METHODS = [
+    'GET', 'DELETE', 'HEAD', 'OPTIONS', 'PATCH', 'POST', 'PUT'
+]
+
+
+class MockRawResponse(BytesIO):
+    def __init__(self, input):
+        if isinstance(input, six.text_type):
+            input = input.encode('utf-8')
+        super(MockRawResponse, self).__init__(input)
+
+    def stream(self, **kwargs):
+        contents = self.read()
+        while contents:
+            yield contents
+            contents = self.read()
+
+
+class BotocoreStubber(object):
+    def __init__(self):
+        self.enabled = False
+        self.methods = defaultdict(list)
+
+    def reset(self):
+        self.methods.clear()
+
+    def register_response(self, method, pattern, response):
+        matchers = self.methods[method]
+        matchers.append((pattern, response))
+
+    def __call__(self, event_name, request, **kwargs):
+        if not self.enabled:
+            return None
+
+        response = None
+        response_callback = None
+        found_index = None
+        matchers = self.methods.get(request.method)
+
+        base_url = request.url.split('?', 1)[0]
+        for i, (pattern, callback) in enumerate(matchers):
+            if pattern.match(base_url):
+                if found_index is None:
+                    found_index = i
+                    response_callback = callback
+                else:
+                    matchers.pop(found_index)
+                    break
+
+        if response_callback is not None:
+            for header, value in request.headers.items():
+                if isinstance(value, six.binary_type):
+                    request.headers[header] = value.decode('utf-8')
+            status, headers, body = response_callback(request, request.url, request.headers)
+            body = MockRawResponse(body)
+            response = AWSResponse(request.url, status, headers, body)
+
+        return response
+
+botocore_stubber = BotocoreStubber()
+BUILTIN_HANDLERS.append(('before-send', botocore_stubber))
+
+class BotocoreEventMockAWS(BaseMockAWS):
+    def reset(self):
+        botocore_stubber.reset()
+
+    def enable_patching(self):
+        botocore_stubber.enabled = True
+        for method in BOTOCORE_HTTP_METHODS:
+            for backend in self.backends_for_urls.values():
+                for key, value in backend.urls.items():
+                    pattern = re.compile(key)
+                    botocore_stubber.register_response(method, pattern, value)
+
+    def disable_patching(self):
+        botocore_stubber.enabled = False
+        self.reset()
+
+
+MockAWS = BotocoreEventMockAWS
 
 
 class ServerModeMockAWS(BaseMockAWS):
diff --git a/moto/core/utils.py b/moto/core/utils.py
index 86e7632b0..777a03752 100644
--- a/moto/core/utils.py
+++ b/moto/core/utils.py
@@ -8,6 +8,7 @@ import random
 import re
 import six
 import string
+from six.moves.urllib.parse import urlparse
 
 
 REQUEST_ID_LONG = string.digits + string.ascii_uppercase
@@ -286,3 +287,13 @@ def amzn_request_id(f):
         return status, headers, body
 
     return _wrapper
+
+
+def path_url(url):
+    parsed_url = urlparse(url)
+    path = parsed_url.path
+    if not path:
+        path = '/'
+    if parsed_url.query:
+        path = path + '?' + parsed_url.query
+    return path
diff --git a/moto/s3/responses.py b/moto/s3/responses.py
index 962025cb1..13e5f87d9 100755
--- a/moto/s3/responses.py
+++ b/moto/s3/responses.py
@@ -10,6 +10,7 @@ import xmltodict
 
 from moto.packages.httpretty.core import HTTPrettyRequest
 from moto.core.responses import _TemplateEnvironmentMixin
+from moto.core.utils import path_url
 
 from moto.s3bucket_path.utils import bucket_name_from_url as bucketpath_bucket_name_from_url, \
     parse_key_name as bucketpath_parse_key_name, is_delete_keys as bucketpath_is_delete_keys
@@ -487,7 +488,7 @@ class ResponseObject(_TemplateEnvironmentMixin):
         if isinstance(request, HTTPrettyRequest):
             path = request.path
         else:
-            path = request.full_path if hasattr(request, 'full_path') else request.path_url
+            path = request.full_path if hasattr(request, 'full_path') else path_url(request.url)
 
         if self.is_delete_keys(request, path, bucket_name):
             return self._bucket_response_delete_keys(request, body, bucket_name, headers)
@@ -708,7 +709,10 @@ class ResponseObject(_TemplateEnvironmentMixin):
             # Copy key
             # you can have a quoted ?version=abc with a version Id, so work on
             # we need to parse the unquoted string first
-            src_key_parsed = urlparse(request.headers.get("x-amz-copy-source"))
+            src_key = request.headers.get("x-amz-copy-source")
+            if isinstance(src_key, six.binary_type):
+                src_key = src_key.decode('utf-8')
+            src_key_parsed = urlparse(src_key)
             src_bucket, src_key = unquote(src_key_parsed.path).\
                 lstrip("/").split("/", 1)
             src_version_id = parse_qs(src_key_parsed.query).get(
diff --git a/requirements-dev.txt b/requirements-dev.txt
index 111cd5f3f..f87ab3db6 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -8,7 +8,7 @@ freezegun
 flask
 boto>=2.45.0
 boto3>=1.4.4
-botocore>=1.8.36
+botocore>=1.12.13
 six>=1.9
 prompt-toolkit==1.0.14
 click==6.7
diff --git a/setup.py b/setup.py
index 98780dd5a..66dba0f2f 100755
--- a/setup.py
+++ b/setup.py
@@ -8,8 +8,8 @@ import sys
 install_requires = [
     "Jinja2>=2.7.3",
     "boto>=2.36.0",
-    "boto3>=1.6.16,<1.8",
-    "botocore>=1.9.16,<1.11",
+    "boto3>=1.6.16",
+    "botocore>=1.12.13",
     "cryptography>=2.3.0",
     "requests>=2.5",
     "xmltodict",