"There's a lot of movement now, but there are still a few things to clarify that always come into play with a transfer like this," Eberl told reporters at Friday's press conference, stopping short of confirming the deal as done.
The two clubs are understood to have agreed a fee of €15m, with a further €5m available through bonus payments, for the 31-year-old midfielder, who would return to Portugal on an attractive three-year contract.
Palhinha joined Bayern Munich from Fulham in 2024 but never established himself as a regular starter under Vincent Kompany, spending last season on loan at Tottenham Hotspur instead.
Eberl had already made clear the club's intention to sell him this summer, with Newcastle and Aston Villa both previously credited with interest before talks with Benfica gathered pace.
A move back to Primeira Liga would mark a homecoming of sorts for Palhinha, who began his senior career in Portugal with Sporting CP before his switch to Fulham in 2022.
Should the transfer go through as expected, it would bring an end to a spell in Munich that never quite matched the expectations either side had when the deal was struck, while giving Bayern a fee to reinvest as they continue reshaping their midfield options.
Palhinha made just 25 appearances during his solitary full season at the Allianz Arena before his loan exit to Tottenham, where he made a far greater impression, featuring 45 times across all competitions.
Benfica's chief scout, Patrick Dippel, a former Bayern analyst, is understood to have played a role in identifying and pursuing the deal, giving the Lisbon club an added edge in negotiations with his old employer.