The Knicks' contingent is believed to include president Phil Jackson, GM Steve Mills and head coach Derek Fisher.
With Wednesday being the first day teams are able to meet with free agents, both meetings are expected to be completed before Friday.
While the Knicks are considered long shots to land either Aldridge or Jordan, sources said they are in each player's top four.
Jordan will also meet with the Mavs, Lakers and Los Angeles Clippers, according to sources.
Knicks star Carmelo Anthony has already called both players, as well as Greg Monroe and Arron Afflalo, sources said. The Knicks will also meet with Monroe this week and eventually will meet with Wesley Matthews.
New York's pitch to Jordan will be that he would be the team's second option behind Anthony, as opposed to the third option he currently is with the Clippers behind Chris Paul and Blake Griffin. Sources say that is an important distinction to Jordan.
The Knicks will also emphasize that in the Eastern Conference, the road to becoming an All-Star and a playoff team is much less clogged than in the West.