Chelsea are well-known for loaning out youngsters, and Musonda may decide he needs some time away in order to continue his development before he can successfully break into the first team.
Spain worldwide Morata has made 15 league appearances for Chelsea this season, scoring nine goals but missed the 3-1 win over Huddersfield Town on Tuesday.
The reigning champions are still third in the standings, but the Manchester clubs are threatening to pull ahead, with United still within arm's reach, three points above the Blues, while City are 14 points ahead.
"I think we had a great game, we had possession and tried to play the ball", Willian told BT Sport.
Southampton were hammered 4-1 by Leicester City on Wednesday as former Saints boss Claude Puel returned to heap misery on the club, who are 11th in the league with 18 points after their seventh defeat of the season.
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That boost could even see him return to the side for their game against Southampton this weekend.
"We want to show our best version".
Meanwhile, Chelsea were on the road in Yorkshire as the London-based club visited Huddersfield Town.
"They are a good team but to have 15 wins in a row, you must be also lucky because in many games they won in the last minutes".
The Italian says City have benefited from signing their first-choice targets, plus a bit of luck in the latter stages of games, including against Southampton - Chelsea's opponents on Saturday.
"Three days before [against Arsenal] we showed a completely different face, and Chelsea is a hard side but we want to bounce back".