Johnson’s future has been the subject of intense speculation since the January transfer window opened, with reports of interest from the likes of Colchester.
Mansfield boss Nigel Clough was asked after the recent game at Bescot and said he was none the wiser, saying the decision was “above his pay grade”.
Flynn said: “Nothing has changed as we sit here – he is a Walsall player until January 15, that is all we know.
“On that date he will either go back to Mansfield, stay with us or go to another club but, according to some of the figures quoted, he won’t be at Walsall.
“The longer someone is available the more their value may go up but having said that, a player is only worth what someone is prepared to pay and we have a budget we have to stick to otherwise there is no point having a budget.
“Danny is training with us, is available to play and is hungry for goals, he is a great lad and we would be sorry to lose him but we will have to see what happens.”