Im rhymes with:
bihm, brim, brimm, clim, crim, crimm, dim, flim, grim, grimm, grimme, gym, him, hymn, jim, kibbutzim, kim, kimm, klim, klym, krim, kym, lim, limb, mckim, mihm, mim, patronym, pimm, prelim, prim, primm, pymm, rim, shim, sim, simm, skim, slim, swim, sym, tim, timm, timme, trim, trimm, vim, whim, yim, zim
Im sounds like:
i'm, iain, ian, ianni, iannone, ihnen, imai, imam, iman, imm, immu, immune, immuno, imo, in, in., ina, inane, inhuman, inhumane, inman, inmon, inn, inno, inoue, inouye, iny, ion, iona, ione, iowan, iwan, iwen