No. TD status permits accompanying and studying but does not authorize employment, including work for the same employer or remote work for a Canadian company while physically in the United States. A spouse who wants to work needs their own qualifying route.
TD is a companion status, not a work permit
Hypothetical example: If Priya's husband is a heavy-duty mechanic, the mine might be happy to hire him, but TD gives him no work authorization and he cannot obtain an employment document on the strength of it. The rule applies to any productive work performed while he is in the United States, which includes continuing to invoice Canadian customers from a laptop. He may enrol in courses, including full-time programs, without changing status. Their children may attend school and continue until they turn 21, when TD ends regardless of the parent's status. If the husband wants to work he needs his own category: TN if his occupation is listed and he holds the credential, which a trade certificate does not satisfy, or an employer-sponsored petition in another classification. Plan that question before the move rather than after he has been offered a job on site.
Hypothetical example: A Canadian forester accepts a temporary role with a U.S. conservation company while her partner intends to keep running a paid online tutoring business. Before travel, they should identify the partner’s actual work activity, clients, and the status that would authorize it. The dependent record settles admission as family; it does not settle a separate right to work. Delaying that analysis until invoices are due can turn a household arrangement into an avoidable status problem.