The Knicks beat the Thunder 125-120 despite their thin front line for their 12th consecutive victory.
Martin and Camby also missed Friday's win over Milwaukee due to their respective ailments.
With the two veteran forwards out, the onus to defend the paint fell squarely on Tyson Chandler.
The Knicks center recently missed 10 games due to a bulging disk in his neck. He returned earlier this week but reported feeling pain and stiffness after his first two games back.
Following Friday's game against the Bucks, however, Chandler said the condition of his neck had improved.
"Way, way better tonight," he said after playing 37 minutes. "I didn't have any pain in my neck. Now it's just about getting my wind and my timing back."
The team considers Martin's injury a minor one. Coach Mike Woodson said on Friday that Martin's absence from the Bucks game was "precautionary."
Martin has been an integral piece for the Knicks.
With Chandler out, Martin started at center and helped the Knicks hold opponents to 91.5 points per game during an eight-game stretch.
Since signing with the Knicks in late February, the 35-year-old Martin has averaged 7.5 points and 5.4 rebounds in 24 minutes.
The severity of Camby's injury is unclear. He has played in just 24 games for the Knicks after coming to New York over the summer in a sign-and-trade.
Camby missed 12 games between November and December with what the team described as a sore left foot. He then aggravated the injury on Jan. 10 and missed 20 games with a left plantar fascia injury.
For the season, Camby has averaged 1.8 points and 2.4 rebounds in 10 minutes.
Information from ESPNNewYork.com contributor Ian Begley was used in this report.