Goalkeeper Covic won the award as most valuable player in the AFC Champions League when Wanderers created history by becoming the first Australian team to win the tournament last November, but he is yet to be offered a new contract by the club.
There has been speculation Covic may not get a new deal and that Western Sydney is interested in signing Perth Glory goalkeeper Danny Vukovic if he can get a release from his contract.
Wanderers announced on Friday that Tony Popovic had re-signed as coach. In the wake of that announcement, Popovic said he would be conducting interviews with players and that "next week all the players will know where they stand".
Covic turns 40 next month and is adamant he has at least another season in the A-League left in him. He told The World Game he wanted to stay at the Wanderers and wasn't keen to consider other possibilities.
"I want to play again, definitely, that hasn't changed," Covic said. "I think that over the three years of the Wanderers I've been an integral part of the club. I'm not ready to give it away - there's more to offer in this set of legs. I'd like to stay at the Wanderers.
"The club is aware I want to play again next season. The club has always known that. The coaching staff knows that, there's no sort of question mark about whether I want to play or not.
"I don't want to play for anyone else but the Wanderers in the A-League. It's the club I feel I've come home to, the club I've been at since day one and won a few titles with now and the club I enjoy.
"I don't even want to think about playing somewhere else because I want to be staying at the Wanderers and playing for them, and staying there probably post-career if I want to stay in football, which I do. There's a lot of incentive to stay at the Wanderers.
"I've enjoyed my time here, we've been successful. I've busted my chops at this club for a reason - because I've enjoyed the ride from day one."
Covic said he wasn't worried about having to wait to find out his future. He said it was sometimes an occupational hazard for footballers.
Asked if he was prepared to seek a contract with another A-League club, if there was no deal on offer from Wanderers, Covic replied: "The reality is that whatever happens, I'll have to deal with it.
"I've had a long enough career to know there can be delays, but you always want your future assured. You want to know what's happening, without question, and that plays on every player's mind.
"I'm not ready to stop, so I have to think about myself going forward and my options and the possibilities that could happen.
"I'd be prepared to look at other options, not that I'd be happy if I wasn't offered something at Western Sydney.
"The business side of football these days doesn't allow you to pick and choose all the time. I'll exhaust everything to play for the Wanderers, but at the end of the day I'm not ready to give up football.
"The way it's been going at the Wanderers, I've been having one-year deals there but I've never said that the one-year deal is going to be my final year.
"As long as I'm keen to play and playing at a good level and the coaching staff and everyone is happy with me, there's no reason I can't keep playing.
"All I can do at the moment is wait."
Wanderers had easily the most congested season in the history of A-League clubs, squeezing in games at the FIFA Club World Cup and Champions League alongside the normal A-League schedule.
Inevitably, the team struggled in the A-League and after making the grand final in its first two years it finished ninth this season.
Wanderers narrowly failed to advance from the group stage in this year's ACL, but Covic said last week's 2-0 win over Chinese powerhouse Guangzhou Evergrande on the road showed what the team was still capable of when it had a reasonable amount of time to prepare for games.
"We had 10 days off before the game in China and we were a lot fresher, moving a lot better," he said. "The energy we had in the first two years of the club - closing down play, the resilience - you could see that's still there.
"But when you play every third day and you're in constant recovery mode, it's hard to keep yourself going and in physically peak condition. Everyone's looking forward to a break now, so we can freshen up for next season."
