Liverpool were crowned English champions for the first time in 30 years without kicking a ball on Thursday after Chelsea beat Manchester City at Stamford Bridge.
Liverpool's 19th title triumph, which sparked wild celebrations around their Anfield home ground, left them just one behind United's record haul of 20.
But United boss Solskjaer said matching United's run of 13 league titles in 21 seasons under Scottish manager Ferguson would be difficult.
Ferguson won his first Premier League title in 1993, ending a 26-year wait for United to be crowned English champions.
"The run of titles that we won under Sir Alex, I don't think that's going to be easy for anyone to emulate and to copy," said Solskjaer, who won six Premier League titles as a player under the Scot.