Hesse, which is the home state of Deutsche Boerse, has the authority to veto a merger of the two exchange operators.
Michael Busser, a spokesman for Hesse, declined to say who would attend the meeting, saying the deliberations were confidential.
Earlier this week, Reuters reported that the meeting will be held in the Hessian capital Wiesbaden, close to Frankfurt, and would be attended by state premier Volker Bouffier, London Stock Exchange Chief Executive Xavier Rolet and Carsten Kengeter, head of Deutsche Boerse.
The chairmen of both firms, Deutsche Boerse's Joachim Faber, and Donald Brydon from the LSE, will also attend.
Reporting by Andreas Kroener; Writing by Edward Taylor; Editing by Georgina Prodhan