The midfielder helped Everton reach the fourth round of the FA Cup when one of the marksmen in a 5-1 triumph at Cheltenham on Monday night.
Osman has been one of Everton's most consistent performers during the last decade since making his debut in January 2003 against Tottenham as a substitute at Goodison Park.
He finally made his England debut last November against Sweden at the age of 31 but silverware has eluded him.
Osman said: "I've been made aware that this weekend will be 10 years since my debut so it will be a nice occasion.
"I have great memories of those 10 years but I don't think we've won anything since I've been playing.
"I'd love to finally win something for the club."