The new Baggies manager is keen to keep hold of the defender while sporting and technical director Dan Ashworth says they are trying to build and not sell their best players
The centre-back only has one year left on his contract, and said that he would decide on his future after the European Championship. Clarke is keen to tie the player to the club, and avoid a situation where he will have to be sold at cut-price fee or leave on a free transfer next summer.
Clarke simply responded: "Yes," when he was asked he would like Olsson to stay.
Clarke told the Wolverhampton Express and Star: "I didn't want to intrude too much because Jonas was out there representing his country and it was a big tournament for him.
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"Hopefully between now and the report back for training date, I'll get the chance to meet him and have a chat with him.
"Ideally, I want to keep all the contracted players and bring in another two or three that can help them. Jonas is a key player for the team and the club, and I'll do what I can to keep him here."
Olsson has become an important player for the Baggies and in his four years at the club has made 128 appearances.
The 29-year-old has been linked with a move to London with both West Ham and Tottenham reportedly interested.
However Dan Ashworth, the club's sporting and technical director, reiterated the manager’s stance on keeping the first team together.
Ashworth said: "He is one of our most important players and we would like to keep him like we did last year with Youssouf Mulumbu and Peter Odemwingie last year.
"We're trying to build a squad not sell our best players.
"There wasn't a huge outlay on the transfer so we don't need to make a huge amount of money back if he decided to run the contract down.
"We would have to weigh it up and consider whether there is a transfer offer that meets the value of either getting a replacement or losing Jonas for the season."