Phillips felt the goals helped repay the faith shown in him by boss McLeish.
He told Sky Sports: "I think I showed I still have a bit left in me. People write you off over 30 but I am 36 now and I think I showed I can still do a job.
"It is just nice to get on the pitch. I have not had much game time lately.
"I said to myself I would have to be patient this year. I knew I would get my chance.
"You have to be mentally strong. You have to keep believing you will get your chance.
"It is a short career and I know I am not too far away from retiring.
"I want to play for as long as I possibly can at the highest level and moments like today make me want to play for longer."
McLeish believes Kevin Phillips' heroics against Wolves was a reward for assurances offered to the striker over his future at St Andrews.
He told Sky Sports: "He has been injured a couple of weeks and maybe has not played as much in the first half of the season as he would have liked.
"The team was going well, I wanted to gather a bit of momentum, I wanted to build confidence and Kevin, as players do, lost a bit of morale at not playing.
"But I spoke to Kevin after the transfer window closed and said he still had a big part to play.
"By goodness he has given us a fantastic return."