diff --git a/.codecov.yml b/.codecov.yml
index 826bd9d12cf..42ffa6b6eb2 100644
--- a/.codecov.yml
+++ b/.codecov.yml
@@ -7,16 +7,10 @@ coverage:
     patch:
       default:
         target: '80'
-        if_no_uploads: error
-        if_not_found: success
-        if_ci_failed: failure
     project:
-      default: false
       library:
         target: auto
-        if_no_uploads: error
-        if_not_found: success
-        if_ci_failed: failure
+        threshold: 0.25%
         paths:
           - "src/metpy/.*"
 
diff --git a/ci/Current.txt b/ci/Current.txt
index eea254389d5..e2c07523e93 100644
--- a/ci/Current.txt
+++ b/ci/Current.txt
@@ -1,4 +1,4 @@
-matplotlib==3.2.1
+matplotlib==3.3.0
 numpy==1.19.1
 scipy==1.5.2
 pint==0.14
diff --git a/src/metpy/plots/_mpl.py b/src/metpy/plots/_mpl.py
index a7848c92022..084055111aa 100644
--- a/src/metpy/plots/_mpl.py
+++ b/src/metpy/plots/_mpl.py
@@ -225,8 +225,9 @@ def draw(self, renderer):
                     if renderer.flipy():
                         y = canvash - y
 
-                    # Can simplify next two lines once support for matplotlib<3.1 is dropped
-                    check_line = getattr(self, '_preprocess_math', self.is_math_text)
+                    # Can simplify next three lines once support for matplotlib<3.1 is dropped
+                    is_math_text = getattr(self, 'is_math_text', False)
+                    check_line = getattr(self, '_preprocess_math', is_math_text)
                     clean_line, ismath = check_line(line)
 
                     if self.get_path_effects():
diff --git a/src/metpy/plots/skewt.py b/src/metpy/plots/skewt.py
index d8619de03a2..9d35cd161ae 100644
--- a/src/metpy/plots/skewt.py
+++ b/src/metpy/plots/skewt.py
@@ -8,6 +8,7 @@
 """
 
 from contextlib import ExitStack
+import warnings
 
 import matplotlib
 from matplotlib.axes import Axes
@@ -126,7 +127,11 @@ class SkewXAxis(maxis.XAxis):
     """
 
     def _get_tick(self, major):
-        return SkewXTick(self.axes, None, '', major=major)
+        # Warning stuff can go away when we only support Matplotlib >=3.3
+        with warnings.catch_warnings():
+            warnings.simplefilter('ignore', getattr(
+                matplotlib, 'MatplotlibDeprecationWarning', DeprecationWarning))
+            return SkewXTick(self.axes, None, label=None, major=major)
 
     # Needed to properly handle tight bbox
     def _get_tick_bboxes(self, ticks, renderer):
diff --git a/src/metpy/testing.py b/src/metpy/testing.py
index dc80b740972..cdd8d8a7eaa 100644
--- a/src/metpy/testing.py
+++ b/src/metpy/testing.py
@@ -199,17 +199,6 @@ def set_agg_backend():
         plt.switch_backend(prev_backend)
 
 
-@pytest.fixture(autouse=True)
-def patch_round(monkeypatch):
-    """Fixture to patch builtin round using numpy's.
-
-    This works around the fact that built-in round changed between Python 2 and 3. This
-    is probably not needed once we're testing on matplotlib 2.0, which has been updated
-    to use numpy's throughout.
-    """
-    monkeypatch.setitem(__builtins__, 'round', np.round)
-
-
 def check_and_silence_warning(warn_type):
     """Decorate a function to swallow some warning type, making sure they are present.
 
diff --git a/tests/plots/test_cartopy_utils.py b/tests/plots/test_cartopy_utils.py
index db1cc727c7a..c753f062c74 100644
--- a/tests/plots/test_cartopy_utils.py
+++ b/tests/plots/test_cartopy_utils.py
@@ -10,7 +10,7 @@
 
 from metpy.plots import USCOUNTIES, USSTATES
 # Fixtures to make sure we have the right backend and consistent round
-from metpy.testing import patch_round, set_agg_backend  # noqa: F401, I202
+from metpy.testing import set_agg_backend  # noqa: F401, I202
 
 MPL_VERSION = matplotlib.__version__[:3]
 
diff --git a/tests/plots/test_declarative.py b/tests/plots/test_declarative.py
index c35aec3340a..78691d9abee 100644
--- a/tests/plots/test_declarative.py
+++ b/tests/plots/test_declarative.py
@@ -468,7 +468,7 @@ def test_declarative_gridded_scale():
     return pc.figure
 
 
-@pytest.mark.mpl_image_compare(remove_text=True, tolerance=0.347)
+@pytest.mark.mpl_image_compare(remove_text=True, tolerance=0.607)
 def test_declarative_barb_gfs():
     """Test making a contour plot."""
     data = xr.open_dataset(get_test_data('GFS_test.nc', as_file_obj=False))
@@ -496,7 +496,7 @@ def test_declarative_barb_gfs():
     return pc.figure
 
 
-@pytest.mark.mpl_image_compare(remove_text=True, tolerance=0.346)
+@pytest.mark.mpl_image_compare(remove_text=True, tolerance=0.466)
 def test_declarative_barb_gfs_knots():
     """Test making a contour plot."""
     data = xr.open_dataset(get_test_data('GFS_test.nc', as_file_obj=False))
diff --git a/tests/plots/test_skewt.py b/tests/plots/test_skewt.py
index 65980e460c6..21036fbc3d3 100644
--- a/tests/plots/test_skewt.py
+++ b/tests/plots/test_skewt.py
@@ -11,7 +11,7 @@
 
 from metpy.plots import Hodograph, SkewT
 # Fixtures to make sure we have the right backend and consistent round
-from metpy.testing import patch_round, set_agg_backend  # noqa: F401, I202
+from metpy.testing import set_agg_backend  # noqa: F401, I202
 from metpy.units import units
 
 
diff --git a/tests/plots/test_station_plot.py b/tests/plots/test_station_plot.py
index 9da67af0fbf..0a49c98b97e 100644
--- a/tests/plots/test_station_plot.py
+++ b/tests/plots/test_station_plot.py
@@ -13,7 +13,7 @@
 from metpy.plots import (current_weather, high_clouds, nws_layout, simple_layout,
                          sky_cover, StationPlot, StationPlotLayout)
 # Fixtures to make sure we have the right backend and consistent round
-from metpy.testing import patch_round, set_agg_backend  # noqa: F401, I202
+from metpy.testing import set_agg_backend  # noqa: F401, I202
 from metpy.units import units