diff --git a/src/poetry/core/semver/version.py b/src/poetry/core/semver/version.py
index 2fe6fe873..b7ee59c2e 100644
--- a/src/poetry/core/semver/version.py
+++ b/src/poetry/core/semver/version.py
@@ -36,12 +36,16 @@ def stable(self) -> Version:
 
     def next_breaking(self) -> Version:
         if self.major == 0:
+            if self.is_unstable():
+                return self.stable.next_patch()
+
             if self.minor is not None and self.minor != 0:
                 return self.next_minor()
 
             if self.precision == 1:
                 return self.next_major()
             elif self.precision == 2:
+                print(self.is_unstable())
                 return self.next_minor()
 
             return self.next_patch()
diff --git a/tests/semver/test_helpers.py b/tests/semver/test_helpers.py
index d53e9e57d..f063ac60a 100644
--- a/tests/semver/test_helpers.py
+++ b/tests/semver/test_helpers.py
@@ -246,6 +246,30 @@ def test_parse_constraint_tilde(input: str, constraint: VersionRange) -> None:
                 Version.from_parts(0, 0, 3), Version.from_parts(0, 0, 4), True
             ),
         ),
+        (
+            "^0.0.3-alpha.21",
+            VersionRange(
+                Version.from_parts(0, 0, 3, pre=ReleaseTag("alpha", 21)),
+                Version.from_parts(0, 0, 4),
+                True,
+            ),
+        ),
+        (
+            "^0.1.3-alpha.21",
+            VersionRange(
+                Version.from_parts(0, 1, 3, pre=ReleaseTag("alpha", 21)),
+                Version.from_parts(0, 1, 4),
+                True,
+            ),
+        ),
+        (
+            "^0.0.0-alpha.21",
+            VersionRange(
+                Version.from_parts(0, 0, 0, pre=ReleaseTag("alpha", 21)),
+                Version.from_parts(0, 0, 1),
+                True,
+            ),
+        ),
     ],
 )
 def test_parse_constraint_caret(input: str, constraint: VersionRange) -> None:
@@ -394,6 +418,12 @@ def test_parse_constraints_with_trailing_comma(
         ("^1", ">=1,<2"),
         ("^1.0", ">=1.0,<2.0"),
         ("^1.0.0", ">=1.0.0,<2.0.0"),
+        ("^1.0.0-alpha.1", ">=1.0.0-alpha.1,<2.0.0"),
+        ("^0", ">=0,<1"),
+        ("^0.0", ">=0.0,<0.1"),
+        ("^0.0.0", ">=0.0.0,<0.0.1"),
+        ("^0.0.2-alpha.1", ">=0.0.2-alpha.1,<0.0.3"),
+        ("^0.1.2-alpha.1", ">=0.1.2-alpha.1,<0.1.3"),
         ("~1", ">=1,<2"),
         ("~1.0", ">=1.0,<1.1"),
         ("~1.0.0", ">=1.0.0,<1.1.0"),