The Bluebirds won the first South Wales derby of the season at home in November and, if they were to take all three points again, then they would become the first team to achieve the double in the 102-year history of the league fixture.
"I know about the history of this fixture, I am aware there has never been a league double," Solskjaer told reporters. "Let's go out and make history. Why not? This may be the time.
"I watched the South Wales derby on television earlier this season when Cardiff won and the return is going to be another tough match. Over the years I have watched the Swans' journey with Roberto Martinez, then Brendan [Rodgers] and now Michael [Laudrup] in charge.
"There is a passion among Cardiff fans which I knew about before and has been evident since I arrived. We understand what this fixture means to the fans."
Cardiff currently sit in 19th place in the Premier league table.