The West Ham co-owner is optimistic about the forward.
Sullivan holds similar hopes for creative midfielder Manuel Lanzini, with both him and Sakho currently out injured.
West Ham lost 1-0 to Southampton in the Premier League on Saturday afternoon.
And Sullivan said in his 'From the Boardroom' column on the West Ham site: "It is looking more promising on the injury front and once we get Diafra Sakho and Manuel Lanzini back in action, I believe we will start to score a lot more goals.
"I hope both players will be back in action within the next two weeks."
The Hammers have been short of both form and goals of late and the east London club will want to finish their last ever season at Upton Park on a high.
West Ham are still sixth and will be in the fifth round of the FA Cup if they can beat Liverpool on Tuesday night, so there is still plenty to play for.
Recent form hasn't reached the heights of earlier this season, however, and West Ham fans will be all too familiar with a second half of a campaign not living up to the highs of the first.