  Thallium monofluoride (TlF) is a prime candidate molecule for precision
measurements aimed at discovering new physics. Optical cycling on the B
$\leftarrow$ X transition around 271 nm enhances this potential. Hyperfine
resolved ultraviolet spectra have been reported to determine the degree of
rotational level mixing in the B-state and the efficiency of laser cooling on
the B $\leftarrow$ X transition [E. B. Norrgard ${\it et~al.}$, Physical Review
A ${\bf 95}$, 062506 (2017)]. Using these high-resolution spectra, the
hyperfine structure in the B-state of TlF is re-analysed and the magnitude of
the $\Lambda$-doubling in the B-state is discussed.
