Hi, thank you for using Intuit turbotax Live Community
The requirement is start work in a new location or what the Canada Revenue Agency (CRA) calls an eligible relocation. This definition does not mention that it must be a new employer just a new location to start work. CRA has information at the following link.
https://www.canada.ca/en/revenue-agency/services/tax/individuals/topics/about-your-tax-return/tax-re...
Review the link above and if you have further questions regarding the claim or the documentation required please contact the CRA
TurboTax also has a great article with moving expense information:
https://turbotax.intuit.ca/tips/when-and-how-you-can-claim-moving-expenses-in-canada-482
Hope this helps
