The Senegalese forward is attracting interest from clubs throughout Europe, but Slomka hopes he can convince the player to stay where he is.
"I'm happy and grateful that Mame is currently a Hannover player," he said. "All the rest is the job of our manager Dirk Dufner.
"He's leading talks and trying to tie him down to us beyond next summer. I think that we have good arguments to convince him to accept a new long-term contract with Hannover."
Diouf has netted twice this season and is currently leading the Reds' charge into the top three of the Bundesliga, which is why Slomka hopes he will be able to pick him at the Allianz Arena on Saturday.
"We'll have to see. Diouf has extraordinary qualities and he is one of the Bundesliga's top strikers," Slomka said.
"If he's not fit, then we're going to have to change something."
Bayern coach Pep Guardiola most certainly has to change something given the absence of midfield trio Thiago Alcantara, Bastian Schweinsteiger and Javi Martinez.
Their combined loss could not come at much a worse time, according to midfielder Arjen Robben, who is looking ahead to three weeks in which Bayern have a packed fixture list.
"Things are really going to get busy now and this is when we need all of our players," said the Dutchman.
"Therefore it's a shame that we're without three important players."
Bayern will be looking to bounce back from an "unnecessary" draw with Freiburg, according to Robben, who should be joined by UEFA's Best Player in Europe Franck Ribery and Thomas Muller, behind the lone striker Mario Mandzukic.