Scottish Football League clubs met at Hampden on Thursday to discuss league reconstruction, which would see their organisation merge with the Scottish Premier League.
The SPL are set to vote on the issue on April 15 but around half of the SFL clubs expressed concerns about a revamp being pushed through in time for the coming campaign.
McClelland - among those in favour of a delay - believes implementation for next season now looks unlikely.
He said: "Something drastic would have to happen, I think, for it to be in place for next season. But I don't see any reason why it can't be in place for the season after with due consideration.
"We had a very good meeting, there was quite a bit of information shared. When we went into the meeting, Annan Athletic's position was quite clear.
"We felt the whole programme was being rushed and we are still of that opinion. We are very keen to see the change and all the principles adopted but we believe it should be on a much more structured time-frame. We are totally committed to that.
"If we can find a way of running it out for another year to develop it and devolve it properly, we are fully supportive of that.
"Our stance is quite clear on this. There are too many unknowns, we need more information.
"We would prefer to see the due diligence exercise completed and the information furnished to all the clubs and then allow everything to move forward from there."
- Sports & Recreation