This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space Πnd of spherical polynomials of degree at most n on the unit sphere Sd⊂ ℝd + 1 as n → ∞. It is shown that for 0 < p < ∞, limn→∞sup{‖P‖L∞(Sd)ndP‖P‖ℒp(Sd):P∈Πnd}=sup{‖f‖L∞(ℝd)‖f‖Lp(ℝd):f∈ℰpd}, where εpd denotes the space of all entire functions of spherical exponential type at most 1 whose restrictions to ℝd belong to the space Lp(ℝd), and it is agreed that 0/0 = 0. It is also proved that for 0 < p < q < ∞, liminfn→∞sup{‖P‖Lq(Sd)nd(1/p−1/q)‖P‖Lp(Sd):P∈Πnd}≥sup{‖f‖Lq(ℝd)‖f‖Lp(ℝd):f∈ℰpd}. These results extend the recent results of Levin and Lubinsky for trigonometric polynomials on the unit circle. The paper also determines the exact value of the Nikolskii constant for nonnegative functions with p = 1 and q = ∞: limn→∞sup0≤P∈Πnd‖P‖L∞(Sd)‖P‖L1(Sd)=sup0≤f∈ℰ1d‖f‖L∞(ℝd)‖f‖L1ℝd=14dπd/2Γ(d/2+1). © 2020, The Hebrew University of Jerusalem.