The Barnet striker will return to Maidenhead United on loan until January 1.
Tarpey will have five weeks' worth of match minutes as he continues to recover from a long-term injury.
After signing last August in the final seconds of the transfer window, he damaged his cruciate ligament in only his second appearance for the Bees.
He earned a move into the EFL after his goal blitz took Alan Devonshire's team to the National League South title.
That season he scored 46 times in all competitions - and bagged seven before moving to the Hive in the summer of 2017.
Now he's back with the Magpies just one place outside the bottom four.