  We show that recent available lattice data for the renormalized Polyakov loop
above the deconfinement phase transition exhibit unequivocal inverse power
temperature corrections driven by a dimension 2 gluon condensate. This simple
ansatz provides a good overall description of the data throughout the
deconfinement phase until near the critical temperature with just two
parameters. One of the parameters is consistent with perturbation theory while
a second, non perturbative, parameter provides a numerical value of the
condensate which is close to existing zero and finite temperature
determinations.
