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We study a model of a keV-scale sterile neutrino with a relatively largemixing with the Standard Model sector. Usual considerations predict activegeneration of such particles in the early Universe, which leads to constraintsfrom the total Dark Matter density and absence of X-ray signal from sterileneutrino decay. These bounds together may deem any attempt of creation of thekeV scale sterile neutrino in the laboratory unfeasible. We argue that formodels with a hidden sector coupled to the sterile neutrino these bounds can beevaded, opening new perspectives for the direct studies at neutrino experimentssuch as Troitsk $\nu$-mass and KATRIN. We estimate the generation of sterileneutrinos in scenarios with the hidden sector dynamics keeping the sterileneutrinos either massless or superheavy in the early Universe. In both casesthe generation by oscillations from active neutrinos in plasma is suppressed.

Hiding an elephant: heavy sterile neutrino with large mixing angle does not contradict cosmology