Near-warp transport
From Memory Alpha, the free Star Trek reference
A near-warp transport refers to the use of a transporter while a vessel is about to enter warp speeds. Because of the severe spatial distortions a warp field generates, this procedure is highly dangerous and requires extensive adjustments to the transport process as well as an upshift in the annular confinement beam frequency to compensate for the distortions.
If the vessel is currently at warp and needs to transport objects or persons to a stationary location, the ship must first briefly drop out of warp, engage the transporter and then reengage the warp drive.
This was performed when the USS Enterprise-D was responding to an emergency distress call from the USS Constantinople. They received a second emergency distress call from Ira Graves on the planet Gravesworld. A near-warp transport was conducted at Gravesworld which would allow the Enterprise to return to their original mission with greater speed. (TNG: "The Schizoid Man")
