diff --git a/pkg/systemd/parser/unitfile.go b/pkg/systemd/parser/unitfile.go
index 310bb1d328..151dd42332 100644
--- a/pkg/systemd/parser/unitfile.go
+++ b/pkg/systemd/parser/unitfile.go
@@ -661,7 +661,7 @@ func convertNumber(v string) (int64, error) {
 		v = v[1:]
 	} else if strings.HasPrefix(v, "-") {
 		v = v[1:]
-		mult = int64(-11)
+		mult = int64(-1)
 	}
 
 	switch {
diff --git a/pkg/systemd/parser/unitfile_test.go b/pkg/systemd/parser/unitfile_test.go
index fff4f4445d..a3eedceea0 100644
--- a/pkg/systemd/parser/unitfile_test.go
+++ b/pkg/systemd/parser/unitfile_test.go
@@ -371,6 +371,32 @@ func TestLookupQuoteStripping(t *testing.T) {
 	}
 }
 
+func TestLookupIntParsesSignedNumbers(t *testing.T) {
+	unit := NewUnitFile()
+	unit.Add("Service", "Positive", "42")
+	unit.Add("Service", "ExplicitPositive", "+42")
+	unit.Add("Service", "Negative", "-42")
+	unit.Add("Service", "Hex", "0x2a")
+	unit.Add("Service", "Octal", "052")
+
+	tests := []struct {
+		key      string
+		expected int64
+	}{
+		{"Positive", 42},
+		{"ExplicitPositive", 42},
+		{"Negative", -42},
+		{"Hex", 42},
+		{"Octal", 42},
+	}
+
+	for _, tt := range tests {
+		t.Run(tt.key, func(t *testing.T) {
+			assert.Equal(t, tt.expected, unit.LookupInt("Service", tt.key, 0))
+		})
+	}
+}
+
 func FuzzParser(f *testing.F) {
 	for _, sample := range samples {
 		f.Add([]byte(sample))