diff --git a/src/resolvelib/resolvers.py b/src/resolvelib/resolvers.py
index bb4e0df..4651f56 100644
--- a/src/resolvelib/resolvers.py
+++ b/src/resolvelib/resolvers.py
@@ -319,6 +319,11 @@ def _backjump(self, causes: list[RequirementInformation[RT, CT]]) -> bool:
                 except (IndexError, KeyError):
                     raise ResolutionImpossible(causes) from None
 
+                # Only backjump if the current broken state is
+                # an incompatible dependency
+                if name not in incompatible_deps:
+                    break
+
                 # If the current dependencies and the incompatible dependencies
                 # are overlapping then we have found a cause of the incompatibility
                 current_dependencies = {
diff --git a/tests/functional/python/inputs/case/backjump-test-1.json b/tests/functional/python/inputs/case/backjump-test-1.json
new file mode 100644
index 0000000..953e0f5
--- /dev/null
+++ b/tests/functional/python/inputs/case/backjump-test-1.json
@@ -0,0 +1,15 @@
+{
+	"index": "backjump-test-1",
+	"requested": [
+		"parent"
+	],
+	"resolved": {
+		"parent": "0.0.1",
+		"pandas": "1.3.5",
+		"pystac": "1.8.3",
+		"pystac-client": "0.3.3",
+		"sat-stac": "0.1.1",
+		"python-dateutil": "2.7.5",
+		"requests": "2.31.0"
+	}
+}
diff --git a/tests/functional/python/inputs/case/backjump-test-2.json b/tests/functional/python/inputs/case/backjump-test-2.json
new file mode 100644
index 0000000..7e78419
--- /dev/null
+++ b/tests/functional/python/inputs/case/backjump-test-2.json
@@ -0,0 +1,17 @@
+{
+	"index": "backjump-test-2",
+	"requested": [
+		"a"
+	],
+	"resolved": {
+		"a": "0.0.1",
+		"b": "0.0.2",
+		"c": "0.0.1",
+		"pandas": "1.3.5",
+		"pystac": "1.8.3",
+		"pystac-client": "0.3.3",
+		"sat-stac": "0.1.1",
+		"python-dateutil": "2.7.5",
+		"requests": "2.31.0"
+	}
+}
diff --git a/tests/functional/python/inputs/index/backjump-test-1.json b/tests/functional/python/inputs/index/backjump-test-1.json
new file mode 100644
index 0000000..aa5b7d1
--- /dev/null
+++ b/tests/functional/python/inputs/index/backjump-test-1.json
@@ -0,0 +1,76 @@
+{
+    "parent": {
+        "0.0.1": {
+            "dependencies": [
+                "pandas<=1.4.0,>=1.3.5",
+                "pystac<=1.8.3,>=1.8.2",
+                "pystac-client<=0.3.3,>=0.3.2",
+                "sat-stac<=0.1.1"
+            ]
+        }
+    },
+    "pandas": {
+        "1.4.0": {
+            "dependencies": [
+                "python-dateutil (>=2.8.1)"
+            ]
+        },
+        "1.3.5": {
+            "dependencies": [
+                "python-dateutil (>=2.7.3)"
+            ]
+        }
+    },
+    "pystac": {
+        "1.8.3": {
+            "dependencies": [
+                "python-dateutil (>=2.7.0)"
+            ]
+        },
+        "1.8.2": {
+            "dependencies": [
+                "python-dateutil (>=2.7.0)"
+            ]
+        }
+    },
+    "pystac-client": {
+        "0.3.3": {
+            "dependencies": [
+                "requests (>=2.25)",
+                "pystac (>=1.4.0)"
+            ]
+        },
+        "0.3.2": {
+            "dependencies": [
+                "requests (>=2.25)",
+                "pystac (~=1.2.0)"
+            ]
+        }
+    },
+    "sat-stac": {
+        "0.1.1": {
+            "dependencies": [
+                "python-dateutil (~=2.7.5)"
+            ]
+        },
+        "0.1.0": {
+            "dependencies": [
+                "requests (~=2.19.1)",
+                "python-dateutil (~=2.7.5)"
+            ]
+        }
+    },
+    "python-dateutil": {
+        "2.9.0": {
+            "dependencies": []
+        },
+        "2.7.5": {
+            "dependencies": []
+        }
+    },
+    "requests": {
+        "2.31.0": {
+            "dependencies": []
+        }
+    }
+}
diff --git a/tests/functional/python/inputs/index/backjump-test-2.json b/tests/functional/python/inputs/index/backjump-test-2.json
new file mode 100644
index 0000000..20badd1
--- /dev/null
+++ b/tests/functional/python/inputs/index/backjump-test-2.json
@@ -0,0 +1,92 @@
+{
+    "a": {
+        "0.0.1": {
+            "dependencies": [
+                "b",
+                "c"
+            ]
+        }
+    },
+    "b": {
+        "0.0.1": {
+            "dependencies": []
+        },
+        "0.0.2": {
+            "dependencies": []
+        }
+    },
+    "c": {
+        "0.0.1": {
+            "dependencies": [
+                "pandas<=1.4.0,>=1.3.5",
+                "pystac<=1.8.3,>=1.8.2",
+                "pystac-client<=0.3.3,>=0.3.2",
+                "sat-stac<=0.1.1"
+            ]
+        }
+    },
+    "pandas": {
+        "1.4.0": {
+            "dependencies": [
+                "python-dateutil (>=2.8.1)"
+            ]
+        },
+        "1.3.5": {
+            "dependencies": [
+                "python-dateutil (>=2.7.3)"
+            ]
+        }
+    },
+    "pystac": {
+        "1.8.3": {
+            "dependencies": [
+                "python-dateutil (>=2.7.0)"
+            ]
+        },
+        "1.8.2": {
+            "dependencies": [
+                "python-dateutil (>=2.7.0)"
+            ]
+        }
+    },
+    "pystac-client": {
+        "0.3.3": {
+            "dependencies": [
+                "requests (>=2.25)",
+                "pystac (>=1.4.0)"
+            ]
+        },
+        "0.3.2": {
+            "dependencies": [
+                "requests (>=2.25)",
+                "pystac (~=1.2.0)"
+            ]
+        }
+    },
+    "sat-stac": {
+        "0.1.1": {
+            "dependencies": [
+                "python-dateutil (~=2.7.5)"
+            ]
+        },
+        "0.1.0": {
+            "dependencies": [
+                "requests (~=2.19.1)",
+                "python-dateutil (~=2.7.5)"
+            ]
+        }
+    },
+    "python-dateutil": {
+        "2.9.0": {
+            "dependencies": []
+        },
+        "2.7.5": {
+            "dependencies": []
+        }
+    },
+    "requests": {
+        "2.31.0": {
+            "dependencies": []
+        }
+    }
+}