Graham found the net on 12 occasions in what was his and Swansea's first ever Premier League campaign last year.
However, his new manager feels that the 27-year-old can add further goals to his tally this time around.
"I think every day the connections in the squad with the new players are getting better," Laudrup told the South Wales Evening Post.
"Look at Danny Graham and Michu - I think we can expect a lot from them this season.
"I don't know what Danny's record is, but I think that if he keeps fit, he could score between 15 and 20 goals in the Premier League."
Graham joined the Swans last summer from Watford.