The Norwegian has now used 25 different players since arriving in south Wales and the side that beat the Cottagers 3-1 on Saturday afternoon showed three changes and an alternative formation to the XI beaten 1-0 by Tottenham the previous Sunday.
Out went Juan Cala, Aron Gunnarsson and Craig Bellamy, along with the 5-3-2 system they used at White Hart Lane, with Craig Noone and Fraizer Campbell flanking Kenwyne Jones in a 4-3-3 formation.
And Solskjaer will continue to shuffle his pack on a weekly basis as he targets 12 points from the Bluebirds' final nine Premier League games.
"You pick the personnel and the system for the team we play against," he said. "Last weekend I thought we did fantastically with the shape against Spurs and that might happen again.
"Here I sacrificed a centre-back and went with three up top because sometimes you follow your gut feeling and I was very pleased with what we did.
"We've got to go to Goodison Park next weekend now with the belief we can nick something. We were close at White Hart Lane and we will work hard this week and find a way.
"It is so tight in the bottom half of the table and there are still many many teams in it."
One player who could get back on the pitch against Everton is the experienced Bellamy, and Solskjaer explained why he missed out against Fulham.
"He has been ill all week so he hadn't trained," he said. "But the character of the lad; he came in on Friday and did something on the bike and felt maybe he could do 10 minutes for us with his energy, enthusiasm, drive and experience.
"We needed energy in the last 10 minutes and I was going to send him on."