The 19-year-old Spaniard was ruled out of the Australian Open after suffering a hamstring injury in pre-season.
That was another blow for Alcaraz, who cut short an outstanding 2022 season because of an internal oblique muscle tear he sustained during a Paris Masters quarter-final against Holger Rune in November.
Alcaraz won five titles last year, including a maiden grand slam triumph at the US Open, and surged to the top of the ATP rankings.
The teenager delivered an encouraging update on his fitness on Saturday (AEDT), posting pictures of himself in action on a clay court and writing: "Back on court and back on clay. VAMOS!"
Alcaraz is set to make his comeback at the Argentina Open, which start in Buenos Aires on 14 February (AEDT).
He won Masters titles in Madrid and Miami last year, along with triumphs in Barcelona, Rio de Janeiro and at Flushing Meadows.