Generally speaking, your options are:
1. Snap the timeline to the actual tempo using Audiosnap's Set Project from Clip (automated but requires a lot of prep) or Set Measure/Beat At Now (manual, but precise and predictable), and then work to that matching grid.
2. Enable Audiosnap on an appropriate drum track, correct any issues with the transient detection and marker location and then Add to Pool and quantize a roughly matching tambourine part (i.e. recorded in real time from a MIDI controller) to the pool or Show Pool Lines and draw the part in the Inline PRV.
The devil is in the details. Pick your poison and someone can provide more specific direction. A lot depends on whether you intend to play the tambourine part from a controller and just need to be able to tighten it up to the existing tracks or whether you want to be able to "draw" the MIDI for it.