Manager Coleman had agreed terms on a further two-year stint in charge of the Dragons prior to last month's World Cup qualifiers against Macedonia and Serbia.
But back-to-back defeats, which saw Wales slump to the bottom of Group A, mean the deal remains unsigned.
Football Association of Wales chief executive Jonathan Ford recently suggested results in the upcoming qualifiers against the Macedonians and Belgium will be taken into consideration before anything is finalised.
Coleman, who claimed judging him on two games was an example of short-termism, suggested he was no longer certain he would sign the contract himself, having held a meeting with FAW chiefs on Monday.
"The contract is still there, it has not been signed, ideally it would have been," he said.
"I have seen comments that I will be judged going into these games. If that's the case, that's not right, surely it has got to be about the bigger picture, but it's not right to sign the contract now."
He added: "We spoke on Monday at length but more on how it had gone in the campaign, what my experiences were, stuff going forward for the next campaign. What we want to be doing. No targets were set.
"The perception now is not good. If we beat Macedonia everything will be rosy.
"People outside might say 'well Chris can sign the contract now', but maybe I won't.