We consider semidefinite monotone linear complementarity problems (SDLCP) in the space *** equation here *** n of real symmetric n×n-matrices equipped with the cone *** equation here *** n+ of all symmetric positive semidefinite matrices. One may define weighted (using any M∈ *** equation here *** n++ as weight) infeasible interior point paths by replacing the standard condition XY=rI, r>0, (that defines the usual central path) by (XY+YX)/2=rM. Under some mild assumptions (the most stringent is the existence of some strictly complementary solution of (SDLCP)), these paths have a limit as r↓0, and they depend analytically on all path parameters (such as r and M), even at the limit point r=0.