OR volume XX part 2 includes the following order --
SPECIAL ORDERS No 2, HEADQUARTERS ARMY OF TENNESSEE, Winchester, Tenn., January 7, 1863.
I. Brig. Gen. J. K. Jackson, with his command, will return to Bridgeport. His command is extended so as to include the troops, depot, and hospitals at Chattanooga, to which point he will repair, and inspect and regulate matters.By command of General Bragg: GEORGE WM. BRENT, Assistant Adjutant-General.
Note that the brigade is reported apart from its corps on page 503. Based on correspondence in OR volume XXX part 4, Jackson remained in command of the District of the Tennessee on Aug 20, 1863. I don't see anything to suggest that Jackson's Brigade operated with the main body of the Army of Tennessee until the evacuation of Chattanooga.