diff --git a/tuf/client_rework/metadata_wrapper.py b/tuf/client_rework/metadata_wrapper.py
index 6f182dc336..18f0d6d9aa 100644
--- a/tuf/client_rework/metadata_wrapper.py
+++ b/tuf/client_rework/metadata_wrapper.py
@@ -9,7 +9,7 @@
 
 from securesystemslib.keys import format_metadata_to_key
 
-import tuf.exceptions
+from tuf import exceptions, formats
 from tuf.api import metadata
 
 
@@ -64,7 +64,7 @@ def verify(self, keys, threshold):
             verified += 1
 
         if verified < threshold:
-            raise tuf.exceptions.InsufficientKeysError
+            raise exceptions.InsufficientKeysError
 
     def persist(self, filename):
         """
@@ -77,13 +77,13 @@ def expires(self, reference_time=None):
         TODO
         """
         if reference_time is None:
-            expires_timestamp = tuf.formats.datetime_to_unix_timestamp(
+            expires_timestamp = formats.datetime_to_unix_timestamp(
                 self._meta.signed.expires
             )
             reference_time = int(time.time())
 
         if expires_timestamp < reference_time:
-            raise tuf.exceptions.ExpiredMetadataError
+            raise exceptions.ExpiredMetadataError
 
 
 class RootWrapper(MetadataWrapper):
diff --git a/tuf/client_rework/mirrors_download.py b/tuf/client_rework/mirrors_download.py
index 996b8a0b0a..03f6006795 100644
--- a/tuf/client_rework/mirrors_download.py
+++ b/tuf/client_rework/mirrors_download.py
@@ -44,7 +44,7 @@
 from securesystemslib import exceptions, util
 
 import tuf
-import tuf.formats
+from tuf import formats
 from tuf.requests_fetcher import RequestsFetcher
 
 # See 'log.py' to learn how logging is handled in TUF.
@@ -61,7 +61,7 @@ class Mirrors:
     def __init__(
         self, mirrors_dict: Dict, fetcher: Optional["FetcherInterface"] = None
     ):
-        tuf.formats.MIRRORDICT_SCHEMA.check_match(mirrors_dict)
+        formats.MIRRORDICT_SCHEMA.check_match(mirrors_dict)
         self._config = mirrors_dict
 
         if fetcher is None:
@@ -97,7 +97,7 @@ def _get_list_of_mirrors(self, file_type, file_path):
         """
 
         # Checking if all the arguments have appropriate format.
-        tuf.formats.RELPATH_SCHEMA.check_match(file_path)
+        formats.RELPATH_SCHEMA.check_match(file_path)
         securesystemslib.formats.NAME_SCHEMA.check_match(file_type)
 
         # Verify 'file_type' is supported.
@@ -243,7 +243,7 @@ def _download_file(self, url, required_length, strict_required_length=True):
         # Raise 'securesystemslib.exceptions.FormatError' if there is
         # a mismatch.
         securesystemslib.formats.URL_SCHEMA.check_match(url)
-        tuf.formats.LENGTH_SCHEMA.check_match(required_length)
+        formats.LENGTH_SCHEMA.check_match(required_length)
 
         # 'url.replace('\\', '/')' is needed for compatibility with
         # Windows-based systems, because they might use back-slashes in place
diff --git a/tuf/client_rework/requests_fetcher.py b/tuf/client_rework/requests_fetcher.py
index bdd52fec44..9c9631b48d 100644
--- a/tuf/client_rework/requests_fetcher.py
+++ b/tuf/client_rework/requests_fetcher.py
@@ -11,10 +11,9 @@
 # Imports
 import requests
 import six
-import urllib3.exceptions
+import urllib3.exceptions as urllib3_ex
 
-import tuf.exceptions
-import tuf.settings
+from tuf import exceptions, settings
 from tuf.client_rework.fetcher import FetcherInterface
 
 # Globals
@@ -58,9 +57,9 @@ def fetch(self, url, required_length):
                 bytes.
 
         Raises:
-            tuf.exceptions.SlowRetrievalError: A timeout occurs while receiving
+            exceptions.SlowRetrievalError: A timeout occurs while receiving
                 data.
-            tuf.exceptions.FetcherHTTPError: An HTTP error code is received.
+            exceptions.FetcherHTTPError: An HTTP error code is received.
 
         Returns:
           A bytes iterator
@@ -84,7 +83,7 @@ def fetch(self, url, required_length):
         except requests.HTTPError as e:
             response.close()
             status = e.response.status_code
-            raise tuf.exceptions.FetcherHTTPError(str(e), status)
+            raise exceptions.FetcherHTTPError(str(e), status)
 
         # Define a generator function to be returned by fetch. This way the
         # caller of fetch can differentiate between connection and actual data
@@ -130,8 +129,8 @@ def chunks():
                     if bytes_received >= required_length:
                         break
 
-            except urllib3.exceptions.ReadTimeoutError as e:
-                raise tuf.exceptions.SlowRetrievalError(str(e))
+            except urllib3_ex.ReadTimeoutError as e:
+                raise exceptions.SlowRetrievalError(str(e))
 
             finally:
                 response.close()
@@ -147,7 +146,7 @@ def _get_session(self, url):
         parsed_url = six.moves.urllib.parse.urlparse(url)
 
         if not parsed_url.scheme or not parsed_url.hostname:
-            raise tuf.exceptions.URLParsingError(
+            raise exceptions.URLParsingError(
                 "Could not get scheme and hostname from URL: " + url
             )