An adipose tissue (AT) transfer system includes, on the aspiration side, an aspiration cannula, an aspiration pump, a container, and flexible tubing connecting the aspiration cannula to the container. On the reinjection side, the system includes a reinjection cannula, flexible tubing connecting the inlet of the reinjection cannula to the container, and a reinjection pump imposing positive-displacement pumping action on the flexible tubing and causing movement of AT in a pulsed mode. The aspiration pump operates to continually supply harvested AT to the second flexible tubing while the reinjection pumps causes continuous or pulsed deposition of the AT at injection site. To ensure that internal pressure and/or flow of the AT through a channel of delivery of the AT to the reinjection site does not exceed a predetermined value, the system contains an external pressure sensor configured to measure such internal pressure in absence of a part that is in direct contact with the AT.