The German record champions have been in the market to add depth in their squad, and have allegedly set their sights on the ex-Dortmund star as an option in midfield
The midfielder has played just 127 minutes in his first season in La Liga following his high-profile move to the Spanish capital, and previous rumours have suggested that he might leave Madrid either on loan or a full transfer at season's end.
"There are indications that Bayern are trying very hard to pull this off," Honigstein said of a potential move for Sahin on ESPN Press Pass. "Which is interesting because he doesn't really strike you as the main guy they perhaps need to strengthen.
"I think there is a recognition that they need to get more quality in the squad," he explained.
Bayern have already confirmed the summer signings of Xherdan Shaqiri from Basel, and Dante from Monchengladbach. The pair are expected to be second-string players. Should Sahin complete his move to Bayern, the Turkey international will have to compete for playing time in a congested defensive midfield that includes Bastian Schweinsteiger, Toni Kroos, and Luiz Gustavo among other options.
"If they can make it happen, then they will. But usually with Bayern, they very rarely do not get their man if they really are trying, and it looks that they are," Honigstein concluded.
The 23-year-old Sahin joined Real Madrid from Bayern's rivals, Dortmund, last summer. His current contract is set to expire in 2017.