The invention relates to the production of an integrated microfluidic system and to the integrated microfluidic system as such. An electronics substrate, especially a semiconductor chip, is connected to a microfluidic substrate in a flip-chip configuration. For this purpose, the fluidic connecting elements of the two substrates to be interconnected are interconnected by a first adhesive and the electrical contacts of the two substrates are interconnected by a second adhesive. The adhesives are cured, the second adhesive curing first.