Parra, who will be leaving the club Sunday to join Venezuela's World Baseball Classic team in Florida, has played in the first three spring games.
Battling for playing time in a crowded outfield, Parra has made a couple of uncharacteristic errors. He has let the ball skip under his glove while charging in from the outfield twice.
Gibson said he was not concerned with the errors at this point, but noted that Parra, who won a Gold Glove Award in 2011, is simply being a little too aggressive charging balls in an effort to throw out baserunners.
"First of all, he's got a new glove, so he's not really comfortable with that," Gibson said. "It's a different feel. A broken-in glove lays down better when you put your glove down on the ground. He's definitely thinking about throwing a guy out. I had a talk with him the other day and said this part of Spring Training, let's just work on our exchange and come up and really try to hit the cutoff man."
And if Parra doesn't improve with the new glove soon, Gibson has a suggestion for what he should do with it.
"If it doesn't get better, those are the ones you hand away to charity," Gibson said.