The Premier League's bottom two sides meet at the Cardiff City Stadium this weekend, having won just 11 top-flight matches between them this season.
Defeat would represent a hammer blow for the survival hopes of both clubs and Solskjaer, who was appointed Cardiff manager in January, insists his players can afford nothing less than a win.
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"We'll go out and attack it in that way on Saturday. We've prepared well and I've got a clear view on the task we face.
"It's one where neither team want a draw, both need the win. We've got the home advantage and support, which will be important."
Fulham have won just once in the league in 2014 - a 2-1 victory over West Ham on New Year's Day - but Solksjaer believes Felix Magath will have his side as well prepared as possible for the crucial clash at the foot of the table.
"Felix (Magath) has had a long career in the game and lots of success as a manager," he added. "He'll have them organised and ready for it."
The club also announced on Friday that defender Kevin McNaughton has signed a contract extension and the 31-year-old, who has 291 appearances for Cardiff, will remain in the Welsh capital for at least another year.
"I think I'm part of the furniture now, I've been here a while. It's great really to look forward to another season at the club," he told Cardiff's official website.
"When I first came we were playing at Ninian Park and everything has changed since then with excellent training facilities and the stadium. Obviously now we're a Premier League football team, (and) looking to stay there."