Tabur has reached 14 singles finals on the ITF Futures Tour with a record of 9-5, as well as reaching 19 doubles finals also on the ITF Futures Tour with a record of 10-9.

In January 2018, Tabur alongside Hugo Gaston won the 2018 Australian Open boys' doubles, defeating Rudolf Molleker and Henri Squire in the final.

Tabur made his debut appearance on the ATP Tour at the 2018 French Open where he was granted a wild card entry into the main doubles draw alongside juniors partner and compatriot Hugo Gaston.

Tabur and Hugo Gaston were once again given a wildcard at the 2019 French Open losing in the first round to Guido Pella and Diego Schwartzman.

In February, Tabur won his first ITF title in Naples, Florida, defeating Christian Harrison in the final.