The Wales international centre-back has been on the books of the Hammers since 2012 and has a contract until June 2016.
“Finally I hope to sign a new contract soon with the club and I would love to finish my career at West Ham,” Collins wrote on West Ham’s official website.
“It is a club I love and I would love the chance to play at the new stadium. I always give my all and 100% every time I pull on the shirt and always want to do my best for the fans.”
Collins has made over 70 league appearances for West Ham since his return to the London outfit from Aston Villa in the summer of 2012.
The 31-year-old is a senior figure in the current Hammers squad, and him remaining at the Boleyn Ground is good for the club.
The former Cardiff City star made 27 appearances in the Premier League in the recently concluded 2014-15 season, creating five chances in the process.
Collins had a pass accuracy of 67% and a shot accuracy of 38%, and won 101 headers and 24 tackles.
West Ham finished 12th in the league table with 47 points from 38 matches.