Wilson, who was listed in good condition Monday after being taken from his home by ambulance the previous day for unknown reasons, had two movies in production and two more upcoming releases to help promote.
DreamWorks Pictures said in a statement that filming continues on "Tropic Thunder," a comedy starring Wilson that was set to begin production in the coming weeks.
The studio offered no details on whether Wilson's role in the film, directed by Ben Stiller and starring Jack Black, would be recast.
A Fox spokesman told the Hollywood trade paper Daily Variety that "it's a totally inappropriate question at this time" whether he would appear in the film.
Wilson's hospitalization could also keep him from helping promote "The Darjeeling Limited," in which he stars alongside Adrien Brody and Jason Schwartzman. The Fox Searchlight film was to be released Sept. 28.
Paramount also had a Wilson film due in March: the Judd Apatow-produced "Drillbit Taylor."
Wilson publicist Ina Treciokas told the Hollywood Reporter that the actor already completed press commitments for "The Darjeeling Limited," and that he is "always committed to and supports his projects."
Wilson's screen credits include "Wedding Crashers" and "You, Me and Dupree." He was nominated for a screenwriting Oscar for 2001's "The Royal Tenenbaums."
The actor was at Cedars-Sinai Medical Center in Los Angeles, hospital spokeswoman Cynthia Harding said Monday. He was initially taken to St. John's Health Center in Santa Monica.
Santa Monica Fire Battalion Chief Jose Torres said the department responded to a call that involved Wilson. The chief wouldn't comment on Wilson's injuries or condition, citing federal privacy laws.
"I respectfully ask that the media allow me to receive care and heal in private during this difficult time," Wilson said in a statement released through Treciokas.