diff --git a/pyproject-rpm-macros.spec b/pyproject-rpm-macros.spec
index b700fea..550c1f7 100644
--- a/pyproject-rpm-macros.spec
+++ b/pyproject-rpm-macros.spec
@@ -12,7 +12,7 @@ License:        MIT
 # In other cases, such as backports, increment the point
 # release.
 Version:        0
-Release:        41%{?dist}
+Release:        42%{?dist}
 
 # Macro files
 Source001:      macros.pyproject
@@ -110,6 +110,10 @@ export HOSTNAME="rpmbuild"  # to speedup tox in network-less mock, see rhbz#1856
 %license LICENSE
 
 %changelog
+* Tue Jun 29 2021 Miro Hrončok <mhroncok@redhat.com> - 0-42
+- Don't accidentally treat "~= X.0" requirement as "~= X"
+- Fixes rhzb#1977060
+
 * Mon Jun 28 2021 Miro Hrončok <mhroncok@redhat.com> - 0-41
 - Don't leak %%{_pyproject_builddir} to pytest collection
 
diff --git a/pyproject_buildrequires.py b/pyproject_buildrequires.py
index cbbef0b..f5b6330 100644
--- a/pyproject_buildrequires.py
+++ b/pyproject_buildrequires.py
@@ -25,7 +25,7 @@ class EndPass(Exception):
 
 try:
     from packaging.requirements import Requirement, InvalidRequirement
-    from packaging.utils import canonicalize_name, canonicalize_version
+    from packaging.utils import canonicalize_name
 except ImportError as e:
     print_err('Import error:', e)
     # already echoed by the %pyproject_buildrequires macro
@@ -119,14 +119,13 @@ class Requirements:
                 requirement.specifier,
                 key=lambda s: (s.operator, s.version),
             ):
-                version = canonicalize_version(specifier.version)
                 if not VERSION_RE.fullmatch(str(specifier.version)):
                     raise ValueError(
                         f'Unknown character in version: {specifier.version}. '
                         + '(This is probably a bug in pyproject-rpm-macros.)',
                     )
                 together.append(convert(python3dist(name, python3_pkgversion=self.python3_pkgversion),
-                                        specifier.operator, version))
+                                        specifier.operator, specifier.version))
             if len(together) == 0:
                 print(python3dist(name,
                                   python3_pkgversion=self.python3_pkgversion))
diff --git a/pyproject_buildrequires_testcases.yaml b/pyproject_buildrequires_testcases.yaml
index 5dca147..c762240 100644
--- a/pyproject_buildrequires_testcases.yaml
+++ b/pyproject_buildrequires_testcases.yaml
@@ -81,10 +81,13 @@ Build system dependencies in pyproject.toml with extras:
         "foo",
         "bar[bAz] > 5",
         "ne!=1",
-        "ge>=1.2",
+        "ge>=1.2.0",
         "le <= 1.2.3",
         "lt < 1.2.3.4      ",
         "    gt > 1.2.3.4.5",
+        "compatible ~= 0.4.0",
+        "equal == 0.5.0",
+        "arbitrary_equal === 0.6.0",
         "multi[Extras1,Extras2] == 6.0",
         "combo >2, <5, != 3.0.0",
         "invalid!!ignored",
@@ -100,6 +103,9 @@ Build system dependencies in pyproject.toml with extras:
     python3dist(le) <= 1.2.3
     python3dist(lt) < 1.2.3.4
     python3dist(gt) > 1.2.3.4.5
+    (python3dist(compatible) >= 0.4 with python3dist(compatible) < 0.5)
+    python3dist(equal) = 0.5
+    python3dist(arbitrary-equal) = 0.6
     python3dist(multi) = 6
     python3dist(multi[extras1]) = 6
     python3dist(multi[extras2]) = 6