The present invention relates to a method for reducing the spreading of additional agent(s) which is/are introduced into the process at a papermaking machine. A flowable paper pulp including fibres and a process liquid and having a consistency of not more than 10% is conducted towards the paper machine's headbox (5). Prior to the introduction (14) of said additional agent the consistency of the pulp is increased to a value higher than 10% by removing (8) process liquid and conducting (11) it in the upstream direction, while compensating process liquid is introduced (13) downstream. The present invention also relates to an arrangement at a paper machine, where separating means (8) are arranged in the process direction before means (14) for introducing additional agent (s). The arrangement further includes means (11) for conveying process liquid separated from the process in an upstream direction in the process, as well as means (13) for a downstream introduction of process liquid from a short circulation in order to compensate for the separated process liquid.