Two-dimensional transition metal dichalcogenides
MX
2
(
M
= W, Mo, Nb, and
X
= Te, Se, S) with strong spin–orbit coupling possess plenty of novel physics including superconductivity. Due to the Ising spin–orbit coupling, monolayer NbSe
2
and gated MoS
2
of 2
H
structure can realize the Ising superconductivity, which manifests itself with in-plane upper critical field far exceeding Pauli paramagnetic limit. Surprisingly, we find that a few-layer 1
T
d
structure MoTe
2
also exhibits an in-plane upper critical field which goes beyond the Pauli paramagnetic limit. Importantly, the in-plane upper critical field shows an emergent two-fold symmetry which is different from the isotropic in-plane upper critical field in 2
H
transition metal dichalcogenides. We show that this is a result of an asymmetric spin–orbit coupling in 1
T
d
transition metal dichalcogenides. Our work provides transport evidence of a new type of asymmetric spin–orbit coupling in transition metal dichalcogenides which may give rise to novel superconducting and spin transport properties.