A coating structure for a sheet-like substrate, which includes lignocellulosic fibres is disclosed. The structure includes at least one pre-coat layer including at least 70 weight-% of a first styrene (meth)acrylate copolymer polymerised in the presence of a stabiliser, having a glass transition temperature Tg ≤20° C. preferably ≤10° C., ≤30 weight-% of inorganic platy mineral particles and 0.01-2 weight-% of at least one first thickener. The coating structure further includes a top coat layer including at least 50 weight-% of a second styrene (meth)acrylate copolymer polymerised in the presence of a stabiliser having a glass transition temperature Tg ≤20° C. preferably ≤10° C., ≤30 weight-% of inorganic mineral particles, 0.01-5 weight-% of at least one second thickener and 0.5-30 weight-% of an antiblocking agent. Further disclosed is a sheet-like product coated with the coating structure.