Sims supplied four points (2-2 FG), 13 rebounds, two assists and one steal in 23 minutes during Sunday's 118-85 win over the Pelicans.
Sims is not in the starting lineup for Friday's preseason game against the Wizards, Kristian Winfield of the New York Daily News reports.
Sims will enter the starting lineup in Tuesday's preseason game against the Hornets, James L. Edwards III of The Athletic reports.
Sims (ankle) will return to play during Sunday's preseason game against the Timberwolves.
The Knicks have picked up Sims' $2.1 million team option Saturday, Stefan Bondy of The New York Post reports.
Sims racked up one rebound, one assist and one block across four minutes during Friday's 116-103 loss to the Pacers in Game 6 of the Eastern Conference Semifinals.
Sims (shoulder) is available for Tuesday's Game 5 agains the 76ers.
Sims is probable for Tuesday's Game 5 against the 76ers due to right shoulder inflammation.
Sims won't start Sunday's game against the Bulls.
Sims is starting Friday's game against the Nets, Fred Katz of The Athletic reports.