How bad would it be to only change the oil and not the filter? My bike didnt come with the tool kit, and the Suzuki dealer near me said it will be at least a week or so to get one in

(needless to say, its my first oil change)
Anyways, the bike needs an oil change as its been close to 4000km since the last one, and Im going on a trip about 1300km long in a few days.
Im thinking change the oil now, and do it again with the filter when I get the wrench...do I really need the wrench??
What do you think?