Olsson is entering the final year of his current deal and Clarke is keen to see the 29-year-old commit his future to the Baggies.
"Jonas has a year left on his contract and he understands that," said Clarke.
"I think he'll make decisions based on what's best for him and his family. Hopefully it's a positive decision for us."
Olsson joined West Brom in 2008 from Dutch side NEC Nijmegen, and has since made 128 appearances for the club.