Abstract: In a first aspect, the present invention relates to the use of a TLR 9 agonist and/or a TLR 4 agonist in a prophylactic or therapeutic vaccine. According to the present vaccination strategy, the TLR 9 agonist and/or TLR 4 agonist is adapted or designed for use as a multiplying jump agent to enhance numbers and functionality of CD8 T cells in a prime-jump vaccination strategy for jump T cell expansion. In particular, the TLR 9 agonist and/or TLR 4 agonist is used as a component to be administered after priming of the individual to be vaccinated. The vaccination strategy is particularly useful against acute and chronic infections with intracellular pathogens or for anti-tumor vaccination. In another aspect, the present invention relates to a kit of part containing a prime agent and a multiplying jump agent according to the present invention.