Although Wednesday's season has been petering out for some time, it is still disheartening for one of their squad members to acknowledge the reality of the situation.
Owls supporters had hoped their team would make a late charge for promotion, but May's comments seem to suggest that even the players realise that there is only a slim chance of that happening.
“The play-offs are probably out of our reach," he admitted. "But we are not going to give up on them.
"You never know what can happen in football. We have got the quality to put a good few wins together and we will see what happens.
"We have not set a points target. We have still got nine games to go and we will try to win as many games as we can and see where that takes us in the table. We want to pick up as many points as we can.”
At the moment, Wednesday are 12 points adrift of the top-six and bridging that gap with only nine games remaining is a huge ask.
The Yorkshire outfit would probably have to win every one of their remaining fixtures to even stand a chance of breaking into the play-off pack, and it appears that they will fall short.
Even so, this season has been an encouraging one for Wednesday fans and there is plenty to build on for the next campaign.
Stuart Gray's side have shown the strength of their defence and they have a solid platform to base their plans for next season on.
Wednesday have money to spend over the summer and if they can bring in a few attacking players, to increase their goalscoring threat, then they should be among the leading candidates for promotion in 2015/16.