Ferdinand will also miss Saturday's home fixture with Arsenal, their last match before the trip to White Hart Lane.
The Premier League champions have struggled with injuries to key defenders at the start of the season with Ferdinand's regular centre-back partner Nemanja Vidic also missing the first two games of the season because of a calf injury.
Jonny Evans was also forced to come off before the end of the victories over Birmingham and Wigan as he continues to feel the effects of a long-standing ankle problem.
"At some point my ankle will need surgery," the 22-year-old said on Friday. "It is a problem that has been bothering me since Christmas.
"We thought it might have gone away over the summer but it is still there.
"Every now and again I catch it and it will be quite sore for a while. Then the pain dies off after a week or so."
After being left out of the squad for the win at Wigan, Brown - who appeared as a substitute against Birmingham and started against Burnley - is pushing for a recall to the starting XI against Arsenal.
The 29-year-old's pre-season was hampered by a thigh injury but he completing a reserve team match against Bolton on Monday.
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