A method for increasing in a baked product, after baking, the level of water-soluble arabinoxylan with an average degree of polymerization ranging from 5 to 50, comprising preparing a dough for a baked product with flour having a total arabinoxylan content of at least 2.0%, and adding to the dough an enzyme preparation comprising at least one thermophilic endoxylanase in an amount at least two-fold higher than the amount conferring 90% of the maximal bread volume increase obtained by addition of such enzyme preparation to the recipe of the baked product. Using this method, baked products can be obtained that have a level of arabinoxylan of at least 1.7% The present invention further relates to baked products obtainable by this method, and to an improver and a dough which may be used for the preparation of such products.