Inductors in parallel won't share current well
It depends totally on the core material. Generally, ferrite core materials, as they get warmer, increase their permeability which increases the inductance. Compare 3C90 and 3F4 from ferroxcube: -



Both increase their permeability (and hence inductance) as they warm from -50ºC to about +100ºC. 3C90 then drops a bit before resuming its upward journey until it reaches its curies point at about +200ºC. 3F4 never reduces its inductance until the curie point is reached.

Iron-powder cores may behave differently and there are certainly ferrite cores that exhibit a stronger negative trend in permeability w.r.t. temperature in some areas of their characteristic.

What inductor are you using and what is the circuit in which it is used in?