Royal County officials are backing O’Dowd to continue for a further two years and will put the proposal before club delegates before ratification.
But Meath clubs infamously rejected a similar proposal to retain former manager Eamonn O’Brien in 2010 despite landing the Leinster title just months earlier.
O’Dowd is expected to survive any vote though a level of criticism may come his way after a difficult Championship that yielded a high profile first ever defeat to Westmeath.
Reflecting on the O’Brien axing five years ago, versatile forward Tormey said: “That’s what you have to be wary of. Eamonn O’Brien won a Leinster title and was booted out. It’s hard to know with the clubs, if they get it in their head that Micko is not the right man, they could get rid of him and you could be back to square one again with a new manager.
“You wouldn’t know, a new manager could come in and maybe half a team could be gone because they might think that the players are not good enough or are too young or too light. You hear that talk every week in Meath.
“Mick has backed all the players and we feel that we did actually make progress. In the Westmeath game, if we had continued that for the full 70 minutes I think a lot of teams would have been fearing Meath, to be honest.
“I understand that people might ask, ‘what progress?’ and we haven’t got to an All-Ireland quarter-final.
“But I would say that the 35 minutes against Westmeath in the first-half was probably the best 35 minutes of football Meath has played in the last five or six years. If we can keep that going for 70 minutes, it would make us a stronghold of football.”