Assuming that "I can do the work" expresses general ability/possibility, I don't see an obvious progressive form, nor any reason to want to use one. "I can be doing the work" is possible, but it is not common, and it has a more complicated kind of meaning that needs a particular context. For example, it might mean "I can be getting on with this work while you do something else".
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mizansinha007 What statement should be in continuous sense of "I can"."I can" already has a continuous sense. If you can (do something), you are continuously able (to do something), just by the meaning of "can". If you can read, for example, you don't mean that you are able to read, then unable to read, then able to read, then unable to read. Once y