From their website:http://thomasbreads.com/Faq.aspx
What is your guidance on allergenic ingredients for highly sensitive consumers?
We assure you that we adhere to Good Manufacturing Practices as established by the FDA. We take abundant precaution to prevent cross contact of allergenic ingredients between batches, and our bakeries are inspected to ensure that they meet or exceed all regulatory and baking industry standards. We understand that highly sensitive consumers need to know when there is even the remotest possibility of inadvertent cross contact of allergenic ingredients during processing. To that end we disclose that the following allergenic ingredients are used in some of our manufacturing facilities and that inadvertent cross contact is remotely possible: milk, eggs, soy, almonds, walnuts, peanuts and hazelnuts (filberts). Wheat is used in all of our facilities and all of our products as an ingredient. Please refer to ingredient labels on our products for full disclosure of the ingredients used in that product.
When I called them a month ago they said they labeled for shared lines--even sesame. But the person I spoke with waffled.