His current contract runs out this summer although Albion could take up a 12-month option.
Tamas, who joined Albion three years ago from Auxerre after an initial loan spell, said: "I would like to stay here until the end of my career.
"I hope to play football for another decade, maybe up until I am 38 or 40.
"Staying at the same club for several years has helped my career become more stable.
"I have even talked to people at the club about extending my contract."