That defeats the purpose a bit, no? And why a DI - you don't need the level conversion (in either direction if passive) and may as well use a HiZ bass at that point. If anything a passive splitter/isolation box (1:1 transformer vs 4:1) is the ticket.
Anyway it's worth trying just with a TS-XLR adapter cable, it just may not always be ideal depending on how the given preamp handles the differential input. In many cases it will be a simple matter of a -6db drop in volume, which, given the relative signal strength of the pickup vs a typical microphone, should not be an issue - just compensate with more gain. But sometimes it can be a bit more than just that - hum (the adapter ties pin 3, -ve signal or 'cold,' to pin 1, ground) or even affecting the tone. I am splitting a bit of a hair here, but just so it's not a surprise and knowing what the fix would be - could be as easy as trying a different preamp.
