Graham, 28, has not found the net in 30 appearances since he left the Swans to join Sunderland in a £5million deal in January.
Bruce said: "Danny's got to see it through like any other striker.
"All great strikers go through it. No matter how good you are, there will be a time when you go through a lean patch.
"The one thing you've got to do is knuckle down, keep going and try not to lose your confidence.
"It's remarkable really that strikers are just judged by goals.
"Danny played very well at the start of the season, got injured against Everton and hasn't scored the goals he would like.
"But he's got to see it through, it's as simple as that.
"Could Swansea be the one where he turns it around? We'll have to see on Monday night."
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