Can tonic sol-fa cope with quarter tones?

In the composer John Lambert's ear-training classes, he got his students to sing quarter-tone exercises using - I think - DIE RYE MY FIE SIGH LIE and TIE for quarter sharps, and DAW TAW LAW SAW FORE MORE and RAW for quarter flats. Although musical grammar also requires three-quarter sharps and three-quarter flats, I don't think they were used.

I never saw these syllables written down so they may not be spelt as he spelt them. (In the UK we really do spell spelled, spelt!) But he did invent a system called 'English solfege', and perhaps if you could track it down...

Apparently there are such systems, but I don't know how much they have been adopted.

https://en.xen.wiki/w/31edo_solfege

degrees of 31edo    syllable
0   do
1   di
...

But that conflicts with chromatic solfege...

C DO
C# DI
...