Reina kept a clean sheet in the 3-0 win over the Latics - his first game for the club since early October after missing over a month of action with a hamstring injury.
The Spaniard's shaky form has led to questions being asked of the Reds No 1 for the first time in his stay at Anfield, especially given the solid form of deputy Brad Jones.
But Reina is focused on becoming an even better goalkeeper now he is back to full fitness.
"I have to prove every day to myself, not to anyone in particular, I want to give my best to the team," he said.
"I am happy with that. I will try to encourage myself to be a better keeper and that is what I am doing now.
"Brad has been excellent, very composed, and he has played very well so I was happy for him. Obviously it has been the longest spell (out) since I was here.
"I was not playing at Barcelona because I wasn't on the bench but being fit and available it has never been so long.
"It is always nice to get back in the team and it was worth it to wait longer so as not to have any problems with injury coming back."
Reina could be back on the bench for the Europa League tie at home to Young Boys on Thursday but is not eager to step aside.
"We all want to play every game so that is for the manager to decide and I will be ready if I am involved," he added.