Your target gene may be endogneously expressed in tobacco, so it can also get band in wild type plant by the primer designed for your target gene. If so, try to design primers which contain one fragment in the gene while the other in promotor.
I fully agree with Deyong Zhao. You can do it provided the promoter in not the native one of target gene. You can also try the primers encompassing either the promoter and 5'end of gene; or 3'end of gene and vector backbone DNA sequence. In this case don't try to amplify the full-length target gene.
I think your WT plants may be transfected with virus as well. Try some other WT plant from environment or use any other different plants to exclude this issue. Are you using RT-PCR or DNA PCR? I recommend RT-PCR. Moreover, try to design 2-3 new primer pairs from same gene and repeat experiment you already performed.
Or maybe just something wrong with your PCR. Why not just run a PCR use water as negative control, if you still get the band, means contamination exists in the reagent or even pippte.