Jones made it three goals in two games with a double in the 3-1 Championship victory over Huddersfield at the Cardiff City Stadium.
But Solskjaer said Jones, who was substituted in the final quarter of a comfortable win, is still some way short of full match fitness.
“Kenwyne has been working hard this summer,” Solskjaer said after a game also decorated by Peter Whittingham’s terrific first-half strike from 30 yards.
“He’s still not fit enough to play 90 minutes but he does cause the opposition problems.
“He can get fitter and we’re still working on him but he’s a big lad and it’s hard work.
“It’s natural because he came to us in January having played no football whatsoever.
“Right in the middle of a season it’s hard to have your pre-season.
“We threw him in and he played a couple of games on adrenaline but his fitness caught up with him.
“Now he’s worked this summer, he’s had a full pre-season and it’s a different starting point for him.”
Huddersfield caretaker-manager Mark Lillis felt the Terriers could get back into the game after Murray Wallace reduced the deficit on the stroke of half-time.
“The third goal was tough to take because we came in at half-time and felt we could get a result,” Lillis said.
“But the pleasing thing for me at 3-1 was that we kept trying to play and get back into the game.”
Lillis was appointed Terriers caretaker boss for the third time following Mark Robins’ shock departure on the back of a 4-0 opening-day defeat to Bournemouth.