The Old Trafford giants, on an eight-match unbeaten run in all competitions, head to Pride Park tonight for a fifth-round tie that will pit them against their all-time top-scorer.
Rooney scored a club-record 253 goals across 559 appearances during a trophy-laden spell at United between 2004 and 2017, when he returned to boyhood club Everton before a spell with Major League Soccer outfit DC United.
The 34-year-old returned to home soil to join Championship side Derby as player-coach at the end of last year and is now preparing to line up against his former club.
"He gave absolutely everything for this club and we all appreciate that," Solskjaer said. "But any goal he scores against us will be chalked off his goal tally! He doesn't want to score too many of them".