Gotze, who will swap Dortmund for Bayern after the Wembley showpiece on 25 May, was forced off early in the semi-final second leg against Real Madrid with a thigh injury.
The attacking midfielder has undergone intense rehabiliation since his Bernabeu scare and manager Jurgen Klopp is confident he will be available in London.
"Right now it looks like Gotze could be ready for the final," Klopp told reporters. "His recovery is going according to plan.
"We will intensify training gradually during the week and the plan is for him to join the team training next week. Then we will see if it is good enough."
The Germany international has been an influential figure for a Dortmund side that has emerged as a force in Europe.
But he shocked fans when his transfer to Bayern was announced just hours before last month's first leg against Real Madrid.