James Rackover, 25, and Lawrence Dilione, 28, were arrested last week and arraigned on charges of concealing a corpse, tampering with evidence, and hindering prosecution.
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But neither one has been charged with killing Joseph Comunale.
Prosecutors say he had been stabbed 15 times before being buried in a shallow grave in Oceanport, New Jersey.
Dilione and Rackover waived their appearances at a hearing Monday and no new charges were added for either defendant.
Rackover's attorney said the district attorney has until the close of business Monday to indict Ravkover or release him pending any further charges.
Dilione's attorney said that he would not defend the case in the media and that they are working to get his client out on bail.
He would not say when he expected that to happen, but indicated it would be soon.
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The two suspects were held on $3 million bond or $300,000 cash bail after their arraignment Thursday.
Rackover, of Manhattan, also was arraigned on the charge of aggravated unlicensed operation of a motor vehicle.
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Prosecutors said in court that "one or both of these people committed a murder." Prosecutors said the investigation continues.
Comunale's father reported his son missing Monday because he had not heard from him. Police went to the place where Comunale was last seen -- the Upper East Side apartment. That's where police found evidence of foul play, recovering about 32 pieces of evidence.
Police said the burial site in Monmouth County is where Dilione is from and believed to work in construction. That scene wouldn't be discovered until Wednesday, when one of the two suspects apparently pointed detectives to that location -- more than 60 miles from the Manhattan apartment was last scene.