After going 0-for-5 on Monday in Washington, Bourgeois had five hits in his next 12 at-bats heading into Friday's game, during which he singled and scored in his first at-bat.
"I want to leave that lasting impression and leave it all out there on the field," Bourgeois said. "I'm trying to take advantage of the last few days."
Bourgeois, a native Houstonian, is a free agent at the end of the season.
"I would love to come back here," he said. "It's the No. 1 place I went to be. The role I would be in would be a fourth outfielder coming off the bench, and I'd rather do it here at home. I haven't talked to them yet, but we'll see when the season ends. I'm playing right now and am focusing on that and will deal with the rest later."