Suede jackets are inappropriate in the spring. You should only wear suede jackets in the fall. Suede shoes and accessories are fine in spring, summer and fall.
Most garments made with suede are normally worn in the fall season into the winter season. However, there are few garments created with suede where the heaviness and look varies.
It depends on if it is early or late spring. Don't wear suede when it is warm enough to be out in a short sleeved shirt outside. In the early spring you can wear a light colored suede as long as it is not your dominate fabric.
Wearing suede in the spring time is perfectly acceptable due to the fact that there are many vibrant colors during the spring and suede tends to match those bright colors very well.