Recently, peculiar velocity measurements became available for a new sa
mple of galaxy clusters, hereafter the SCI sample. From an accurately
calibrated Tully-Fisher relation for spiral galaxies, we compute the r
ms peculiar velocity, V-rms and compare it with the linear theory pred
ictions of COBE-normalized low-density and open cold dark matter model
s (Lambda CDM and OCDM, respectively). Confidence levels for model rej
ection are estimated using a Monte Carlo procedure in order to generat
e a large ensemble of artificial data sets for each model. Following Z
aroubi et al., we express our results in terms of constraints on the (
Omega(0), n(pr), h) parameter space. Such constraints turn into sigma(
8) Omega(0)(0.6) = 0.50(-0.14)(+0.25) at the 90% confidence level, thu
s in agreement with results from cluster abundance. We show that our c
onstraints are also consistent with those implied by the shape of the
galaxy power spectrum within a rather wide range for the values of the
model parameters. Finally, we point out that our findings disagree at
about the 3 sigma level with respect to those by Zaroubi et al., base
d on the Mark III catalog, which tend to prefer larger Omega(0) values
within the CDM class of models.