A device is provided for providing a vacuum to a tissue, including: a first tissue cover (110) for covering the tissue (102) and having first peripheral portion (112) with a tissue facing contact surface (114) adapted to be sealingly affixed to a first tissue portion (103) surrounding the tissue (102), the device being adapted for enabling a vacuum to be selectively applied to the tissue in operation of said device; a substantially contiguous layer (120) of flowable sealing material configured for covering a second tissue portion (104) abuttingly adjacent at least a part of the first peripheral portion (112), wherein the sealing material (122) is configured for filling gaps between said contact surface (114) and said first tissue portion (103) that may form leaks, by flowing towards said contact surface (114) under suction provided when said vacuum is applied to the damaged tissue (102) in operation of the device, and wherein said sealing material is uncoupled with respect to said contact surface at least prior to affixing said contact surface (114) to said first tissue portion (103),- and a second tissue (104) cover covering at least a part of said layer.