The Swiss side kicked off their Champions League campaign with a 2-1 victory over the Blues at Stamford Bridge, coming from behind to beat the west Londoners.
Yakin feels the pressure to perform will be higher against the Gelsenkirchen outfit, particularly with the tie on home soil.
|10/1||Basel are 10/1 with BetVictor to beat Schalke 2-1
"Now we play at home and the expectations are high. I think we will compete with Schalke for the second place in the group, that's our goal.
"Internationally, Schalke will play with additional motivation, that's what makes them dangerous.
"We've shown that we're capable of winning at home on the international stage. We will give Schalke a challenge, but they will give us one as well."
Meanwhile, the team's skipper Marco Streller, who scored the winning goal against Jose Mourinho's men, feels his side have what it takes to build up on the success and come out victorious against Schalke as well.
"It will be an extremely difficult match for us, Schalke are a top team! But we know our potential," he said.
"After beating Chelsea we will give everything to beat Schalke as well. We are looking forward to tomorrow."