The 23-year-old Turkish midfielder was the subject of a tug of war between the Reds and Arsenal but eventually decided to join Rodgers' team for the season following discussions with his Madrid coach.
"We talked and he [Mourinho] told me English football, especially Premier League, is the best to enjoy as a player. You can enjoy football every weekend," Sahin told reporters.
|9/1||Liverpool are 9/1 with William Hill to beat Manchester City 2-1
After speaking with Rodgers about how the Northern Irishman intends to set out his side, Sahin was convinced to make the switch to Anfield.
"To be honest, I hadn't thought of playing for Liverpool before talking to Brendan Rodgers, as we didn't have any previous contact. But just after the first conversation, I felt impressed," revealed the former Borussia Dortmund man.
"He told me how he wants to play football and what his objectives with Liverpool are. From that moment, I started thinking I could make that step.
"I feel proud to play for a great team, as Liverpool is. I'm the first Turkish [player] here and it's my turn to make Turkish people feel proud now."