We show, by means of a simple compilation of the available experimental results, that the p\perp -spectra obtained at RHIC and SPS are strikingly similar up to p\perp \simeq 1.5--2 GeV. Our observation is complementary to the well known fact of the equality of the measured Rside and Rout HBT radii at RHIC and SPS. In essence, it points out that the transverse size of the firecylinder and the strength of the transverse flow are not significantly changed between SPS and RHIC. This suggests that a saturation mechanism is effective already at SPS. We also point out that the dominance of protons over \pi + at large p\perp can be seen already in the SPS data.
PACS numbers: 25.75.--q, 25.75.Dw, 25.75.Ld
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