According to the VeraCrypt FAQ, regarding whether or not TPMs are supported:
No. Those programs use TPM to protect against attacks that require the attacker to have administrator privileges, or physical access to the computer, and the attacker needs you to use the computer after such an access. However, if any of these conditions is met, it is actually impossible to secure the computer (see below) and, therefore, you must stop using it (instead of relying on TPM).
If the attacker has administrator privileges, he can, for example, reset the TPM, capture the content of RAM (containing master keys) or content of files stored on mounted VeraCrypt volumes (decrypted on the fly), which can then be sent to the attacker over the Internet or saved to an unencrypted local drive (from which the attacker might be able to read it later, when he gains physical access to the computer).
Maybe I'm wrong, but the content of the RAM will never contains the master keys right? The TPM will be used like an HSM, thus cryptographic operations will be made inside the TPM, and nothing about keys will be stored in the RAM. Can you confirm me that?
If the attacker can physically access the computer hardware (and you use it after such an access), he can, for example, attach a malicious component to it (such as a hardware keystroke logger) that will capture the password, the content of RAM (containing master keys) or content of files stored on mounted VeraCrypt volumes (decrypted on the fly), which can then be sent to the attacker over the Internet or saved to an unencrypted local drive (from which the attacker might be able to read it later, when he gains physical access to the computer again).
I'm not sure about what they call "hardware keystroke logger". Is it a sort of electromagnetic analyses (DEMA)? If so, TPM is by default protected against it.