The veteran Australian goalkeeper is hopeful of extending his stay at Stamford Bridge but he could have another rival for first-team football in the young Belgian
Cech has kept goal for the Blues since 2004 and was voted into the PFA Team of the Year for his exploits in 2013-14 but the young Belgian has spent three ever-more-impressive seasons on loan at Atletico Madrid, with whom he won the Spanish title this campaign.
Courtois is adamant that he does not want to be second choice anywhere next term and Schwarzer is not sure which will be preferred at Stamford Bridge come autumn.
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"There's obviously a lot of things up in the air and a lot things will become a lot clearer [after] the Champions League final and [then] we'll all know what's going to happen at the club next season."
Schwarzer came off worse in a clash with his younger counterpart earlier in May as Chelsea bowed out of the Champions League at Atleti's expense but he will be cheering on the 22-year-old in Saturday's final against Real Madrid and at the World Cup.
"I said to him after the game when we played in the semi-final that I thought, first and foremost, that he was outstanding on the night," the 41-year-old recalled, "but I also wished him all the very best firstly for the Champions League final and the league title [challenge] but also for the World Cup. It's an enormous few weeks for him."
The veteran signed a surprise one-year deal with the Blues after leaving Fulham last summer and impressed when called upon to cover the injured Cech in the Champions League semi-finals and the final weeks of the Premier League title race.
Retired from international duty but still going strong in club football, Schwarzer is keen to remain at the club next term.
"I would like to [extend my contract], yeah," he enthused. "We've had positive discussions and I think it's just a matter of time now before something is concluded one way or the other."