CDK ECS hotswap with SSM params

[lloiacono]

I'm trying hotswap for my ECS staging deployments, but I'm getting the following error and the deployment fallback to a regular deployment.

Could not perform a hotswap deployment, because the CloudFormation template could not be resolved: Parameter or resource 'SsmParameterValue*******************Parameter' could not be found for evaluation

Does this mean that is not possible to do hotswap deployments when using SSM params in ECS? Or is there a way to workaround this? I'm using the SSM params for environmental variables on my ECS service task. It's worth mentioning that I did not change the SSM param, the only change is a code change, so a new image was produced.