Companion Plants To Avoid Growing Near Tomatoes Cabbage. Planting a member of the brassica family, like cabbage, can stunt the growth of your tomato plant because they out-compete them for the same nutrients. ... Corn. ... Broccoli. ... Fennel. ... Dill. ... Potatoes. ... Eggplant. ... Walnuts. More items... May 25, 2023