Delia has come under pressure following the Gers’ 2-1 defeat to Molde at Celtic Park in the Europa League Group A on Thursday evening.
Scotland international right-back Wilson, currently on the books of Scottish Championship side Dumbarton, has also explained why the Norwegian found himself in an unfortunate situation when he took over in the summer of 2014.
"I think he should be given the time,” the 31-year-old told BBC Scotland. "It's very difficult for Celtic managers to produce miracles.
“Ronny Deila found himself in probably an unfortunate situation replacing Neil Lennon off the back of such a successful Champions League period, and then Gordon Strachan before him.”
Under Deila, Celtic have failed to progress to the Champions League group stage two seasons in a row.
There is a chance that the Hoops may not be able to qualify for the knockout stages of the Europa League this campaign.
It is almost a given that Celtic will win the Scottish Premiership title yet again this season, but for the Hoops to really have a successful campaign they need to do something in Europe.