We prove that functional of the trajectory of sticky processes converge to the local time of the underlying process.

We use this result to construct a consistent stickiness estimator.

It is worth mentioning that the estimation of the stickiness parameter of a diffusion is as far as we know a largely untouched subject in the probabilistic literature.

We use numerical examples to assess the convergence speed of the estimator and to compare the convergence result with a result on non-sticky diffusions.