The present invention relates to a herbicidal composition comprising A) one or more sulfonylureas of the formula (I) and/or their salts  in which R1 is C2-C4-alkoxy or CO—Ra, where Ra equals OH, C1-C4-alkoxy or NRbRc, in which Rb and Rc independently of one another are identical or different and are H or C1-C4-alkyl, R2 is halogen or (A)n—NRdRe, in which n equals zero or 1, A is a group CR′R″, in which R′ and R″ independently of one another are identical or different and are H or C1-C4-alkyl, Rd equals H or C1-C4-alkyl and Re is an acyl radical and, in the event that R1 equals C2-C4-alkoxy, Re may also be H, R3 is H or C1-C4-alkyl, m equals zero or 1, X and Y independently of one another are identical or different and are C1-C6-alkyl, C1-C6-alkoxy or C1-C6-alkylthio, each of the three radicals mentioned being unsubstituted or substituted by one or more radicals selected from the group consisting of halogen, C1-C4-alkoxy and C1-C4-alkylthio, or are C3-C6-cycloalkyl, C2-C6-alkenyl, C2-C6-alkynyl, C3-C6-alkenyloxy or C3-C6-alkynyloxy, preferably C1-C4-alkyl or C1-C4-alkoxy, Z equals CH or N, and B) one or more vegetable oils.