With "strip line", you mean transmission line? Or do you really mean
stripline, which is enclosed between two grounds above and below?
https://en.wikipedia.org/wiki/Stripline
On-chip transmission lines are usually implemented as
microstrip lines, with a conductor above a single ground plane.
https://en.wikipedia.org/wiki/Microstrip
A segment of narrow line behaves like a series inductor (with series resistance, and parasitic capacitance to ground). If you make the line wider, the inductance goes down and the parasitic shunt capacitance goes up.
If you implement a series inductor for differential circuit as two narrow lines, then coupling between the two lines will reduce the effective series inductance, and also the Q factor. So ideally, you don't want/need the lines to couple.