This paper deals with the temporal interoperability of components in a real time application and presents a method in order to verify it. The temporal interoperability expresses the capability of a component to cooperate and exchange information with its environment while respecting specified timing properties. The principal aim of this paper is to purpose a construction method of an adaptative tester. The tester generation process is based on the TIOSM formalism. The logical behaviour of this tester is statistically defined (sequences of events, identification of the different clocks) The evaluation of the transitions firing times is done on line by the tester itself during the test process. For this, a set of linear inequalities is generated and attached to each state of the tester and a solver is integrated to it.