Secure access to a corporate application in an SSH session using a transparent SSH proxy. In some embodiments, a method may include receiving, at a secure access cloud point of delivery (PoD), from a client application on a client device, a request to access a corporate application that is deployed in a corporate datacenter. The method may also include forwarding, from the secure access cloud PoD, to a connector that is also deployed in the corporate datacenter, the request. The method may further include brokering, by the connector and the secure access cloud PoD, authentication of a user, authorization of access by the user, and an SSH session between the client application and the corporate application using a transparent SSH proxy, with the client application being unaware that the SSH session is brokered by the connector and the secure access cloud PoD.