diff --git a/flight/flight-sql-jdbc-core/src/main/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtils.java b/flight/flight-sql-jdbc-core/src/main/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtils.java
index 9363e3486c..c4e7fda59b 100644
--- a/flight/flight-sql-jdbc-core/src/main/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtils.java
+++ b/flight/flight-sql-jdbc-core/src/main/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtils.java
@@ -55,15 +55,12 @@ public static long applyCalendarOffset(long milliseconds, Calendar calendar) {
    * @return a {@link Timestamp} object representing the given Epoch millis
    */
   public static Timestamp getTimestampValue(long millisWithCalendar) {
-    long milliseconds = millisWithCalendar;
-    if (milliseconds < 0) {
-      // LocalTime#ofNanoDay only accepts positive values
-      milliseconds -= ((milliseconds / MILLIS_PER_DAY) - 1) * MILLIS_PER_DAY;
-    }
-
+    // Millis are negative before 1970, where only floor semantics keep the epoch day
+    // and the time-of-day remainder on the same day (and the remainder non-negative).
     return Timestamp.valueOf(
         LocalDateTime.of(
-            LocalDate.ofEpochDay(millisWithCalendar / MILLIS_PER_DAY),
-            LocalTime.ofNanoOfDay(TimeUnit.MILLISECONDS.toNanos(milliseconds % MILLIS_PER_DAY))));
+            LocalDate.ofEpochDay(Math.floorDiv(millisWithCalendar, MILLIS_PER_DAY)),
+            LocalTime.ofNanoOfDay(
+                TimeUnit.MILLISECONDS.toNanos(Math.floorMod(millisWithCalendar, MILLIS_PER_DAY)))));
   }
 }
diff --git a/flight/flight-sql-jdbc-core/src/test/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtilsTest.java b/flight/flight-sql-jdbc-core/src/test/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtilsTest.java
index 9c66352023..70bcb9b4c2 100644
--- a/flight/flight-sql-jdbc-core/src/test/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtilsTest.java
+++ b/flight/flight-sql-jdbc-core/src/test/java/org/apache/arrow/driver/jdbc/utils/DateTimeUtilsTest.java
@@ -95,4 +95,15 @@ public void testShouldGetTimestampNegative() {
 
     assertThat(expected, is(actual));
   }
+
+  @Test
+  public void testShouldGetTimestampNegativeNotAlignedToDay() {
+    final long epochMilli = negativeEpochMilli + 3600000L; // 1950-06-01 01:00:00 UTC
+    final Instant instant = Instant.ofEpochMilli(epochMilli);
+
+    final Timestamp expected = Timestamp.from(instant);
+    final Timestamp actual = DateTimeUtils.getTimestampValue(epochMilli);
+
+    assertThat(expected, is(actual));
+  }
 }