The midfielder has scored two goals in two games for the Tigers following his move from West Ham United on transfer deadline day.
The Senegal international now hopes to continue his recent form and repay the faith that manager Steve Bruce has shown in him.
"I like Hull as a club. I can see myself doing well here," he told the Hull Daily Mail. "The manager is good for me. He gives me confidence and I want to pay that back. I like playing for people who believe in you.
"I have been happy with my performance. I have the confidence of the gaffer and am trying to give him everything back."
Diame and his Hull teammates are back in action on Wednesday when they travel to West Bromwich Albion in the third round of the League Cup.