diff --git a/decode.go b/decode.go
index 4092068..f3f14ef 100644
--- a/decode.go
+++ b/decode.go
@@ -230,8 +230,8 @@ func parseLocalTime(b []byte) (LocalTime, []byte, error) {
 		return t, nil, err
 	}
 
-	if t.Second > 60 {
-		return t, nil, unstable.NewParserError(b[6:8], "seconds cannot be greater 60")
+	if t.Second > 59 {
+		return t, nil, unstable.NewParserError(b[6:8], "seconds cannot be greater than 59")
 	}
 
 	b = b[8:]
diff --git a/localtime.go b/localtime.go
index a856bfd..502ef2f 100644
--- a/localtime.go
+++ b/localtime.go
@@ -45,7 +45,7 @@ func (d *LocalDate) UnmarshalText(b []byte) error {
 type LocalTime struct {
 	Hour       int // Hour of the day: [0; 24[
 	Minute     int // Minute of the hour: [0; 60[
-	Second     int // Second of the minute: [0; 60[
+	Second     int // Second of the minute: [0; 59]
 	Nanosecond int // Nanoseconds within the second:  [0, 1000000000[
 	Precision  int // Number of digits to display for Nanosecond.
 }
diff --git a/unmarshaler_test.go b/unmarshaler_test.go
index cdaf509..63fc227 100644
--- a/unmarshaler_test.go
+++ b/unmarshaler_test.go
@@ -3160,7 +3160,17 @@ world'`,
 		{
 			desc: "invalid seconds value",
 			data: `a=1979-05-27T12:45:99`,
-			msg:  `seconds cannot be greater 60`,
+			msg:  `seconds cannot be greater than 59`,
+		},
+		{
+			desc: "leap second not supported",
+			data: `a=1979-05-27T12:45:60`,
+			msg:  `seconds cannot be greater than 59`,
+		},
+		{
+			desc: "leap second with max date causes overflow",
+			data: `s=9999-12-31 23:59:60z`,
+			msg:  `seconds cannot be greater than 59`,
 		},
 		{
 			desc: `binary with invalid digit`,