  We discuss a possibility to construct multi-TeV scale {\mu}p collider at
FNAL. Main advantage of this project is existence of two ring tunnels
tangential to each other. There are two possible options, namely, muons in main
injector with protons in Tevatron ring and vice versa. Two choices are
considered for center-of-mass energy values: 2.57 TeV using 8 T bending magnets
and 5.10 TeV with 16 T magnets. It is shown that luminosity values exceeding
1033 cm-2s-1 can be achieved. It is obvious that {\mu}-FNAL will provide unique
potential for both SM (especially QCD basics) and BSM searches, far beyond the
eRHIC and LHeC capacities.
