Bellerin is currently sidelined with an ankle injury and is not expected to make a return until the middle of next month.
Jenkinson, who has only just returned from a long-term knee injury, is in line to start on Wednesday against Southampton in the quarter-finals of the EFL Cup.
Wenger believes a run of games will help Jenkinson hit top form and indicated he is also in line to start in the Premier League at West Ham on Saturday.
“You forget that it’s a big ask [to come back from a big injury],” the Arsenal boss told the club's official website.
“Carl is very conscientious and sometimes a bit anxious. It takes him time to play completely with freedom. He needs a run of games to play with freedom, so the fact that he can get another game… I think we’ll already see a different Carl.
“I rested him completely against Bournemouth because he played two big games and I felt he needed a breather. Sometimes, mentally three games in a week demands a lot. We’ll get him back tomorrow, put Gabriel in the centre and I will see for Saturday.”
Bellerin was initially ruled out for four weeks but the Spaniard has since revealed his recovery is going well and he may be able to make a return in time for Arsenal's trip to title rivals Manchester City on December 18.