Michael Ryan's side defeated Laois 1-31 to 0-17 in a challenge match played at Dr Morris Park in Thurles
The Leinster county, who had a strong wind in their favour in the first-half, led 0-14 to 0-6 at the break.
However, Tipp, who made 13 changes during the interval, stormed back in the second period and drew level with eight unanswered points by the 47th minute.
Four minutes later substitute John McGrath scored the game's only goal after being set up by Conor Kenny.
Liam McGrath, who was also sprung from the bench, made a positive imprint on the scoreboard too – he scored 0-6, 0-2 of which came from frees.
Tipp open their league campaign on February 13th against Dublin at Semple Stadium.