McLean has found himself the target of Celtic fans' fury after he failed to spot an obvious penalty offence and red card when Inverness defender Josh Meeking handled the ball on his own goal-line during Sunday's William Hill Scottish Cup semi-final.
McLean's Hampden gaffe cost the Hoops dear as they went on to see their treble dreams dashed by the Highlanders' 3-2 win - which is enough to have some Celtic supporters now demand he never takes charge of their team again.
McLean will be on duty again on Friday but only as a fourth official as Hamilton host Motherwell at New Douglas Park, b ut Conroy does not believe he should be taken out of the line of fire for too long
He told Press Association Sport: "I can't speak for Steven but my own preference was to get back on the horse and get on with it
"I think Steven is strong enough that that is what he will want as well.
"Should he be given a break from Celtic matches? Well I don't think this should change any plans that are already in place.
"He will referee Celtic again
There is absolutely no problem with him doing it
Okay it won't be next week because you don't referee the same team two weeks running
But if there are plans for him to referee them before the end of the season, I don't think this should change their thinking."
Conroy quit refereeing in 2012, three months after awarding Rangers a controversial penalty against Dunfermline.
He gave the decision after winger Sone Aluko appeared to tumble following a foul by Martin Hardie, but a Scottish Football Association disciplinary panel later ruled the Nigeria international dived and dished out a two-game ban.
Conroy then spent 12 weeks being overlooked for top-flight fixtures by refereeing bosses as he was demoted back down the leagues before he decided to resign
He later won the right to take the SFA to court for unfair dismissal
Conroy refused to discuss the circumstances of his case but urged the governing body to back their man in this fresh row.
" I know what Steven will be going through," said Conroy, now back working as a GP
"It's not the most pleasant of situation to be involved in
"I made plenty of mistakes in my time - the same as every ref
And the same as every player too.
"To have it replayed over and over and dissected minutely by the papers and on TV really isn't a nice experience.
"For some agencies to call into question your integrity for an honest mistake makes it a terrible place to be."
Celtic have written to the SFA demanding an explanation for the turn of events that saw McLean wave play on as the ball struck Meeking's right arm.
Inverness are unhappy too after their defender was handed a retrospective one-match ban.
However, Conroy believes the furore will do little to help McLean recover.
He said: "It's not for me to say if Celtic should be writing to the SFA about this whole thing, that's for them to decide
"But does it help the referee? No, it just adds to the unpleasantness of it all.
"I don't have any contact with the SFA any more but I would certainly hope they would support him through this and encourage him to keep going
"I 100 per cent expect him to bounce back from this
He's a good enough referee that he can come back."
Meekings is now set to miss the May 30 final with Falkirk, unless he can persuade an SFA judicial panel on Thursday he did not handle the ball deliberately.
Caley Thistle say they have been heartened by the backing they have received.
In a statement on the club website, the Highlanders said: " Inverness Caledonian Thistle has been overwhelmed by the number of online messages, texts, emails, and calls from other football clubs and fans from all over the world during the past 24 hours in regards to Josh Meekings
"Club chairman Kenny Cameron and Josh thank you all for your impassioned support."
Source : PA
Source: PA