The England striker has missed the last two matches with a groin injury, while the Brazilian fullback was withdrawn in the first half against Sunderland last Saturday.
The United boss is willing to risk the England striker despite having missed the matches against Sunderland and Chelsea over Easter. Nemanja Vidic and Jonny Evans, however, are yet to take part in preparations for the match at Old Trafford.
"Wayne and Rafa have started training this morning, which is good news," Ferguson told reporters on Thursday. "Hopefully, they will be fine by Monday. Jonny Evans and Nemanja Vidic are not there yet, but hopefully they will start training maybe [Friday] or Saturday morning. We have a little bit of time on our hands to get most of the troops ready for the game."
The 71-year-old Ferguson also responded to criticism that has come United's way since they were eliminated from the FA Cup by Chelsea on Monday, and he believes that, as long as his side wins the league, it will not be a disappointing season.
"The way we've approached things is the correct way and that's to win the next game," Ferguson said. "Hopefully, it takes us to winning the league. It doesn't matter what people say outside of the club, it's about what we think inside the club. We're always looking to do our best. It's been a good season for us.
"The important thing is to win Monday's game. It'll be a big game for City. They'll want to come and derail us for a spell. We're at home and our consistency is there for all to see. I expect us to perform really well on Monday."
Feguson also praised his players for their league form, which has handed them a 15-point gap over City at the top of the table.
"We have to congratulate our players on their consistency - to win 25 out of 30 games is a record and should be applauded. It's fantastic. But we've still got to win the title. We have eight games left and that's 24 points to play for."