Web sessions can't be opened in the macOS desktop app (teleport is CLI-only)
Summary
A Claude Code session started on the web (claude.ai/code) can be pulled into a local terminal with claude --teleport <session-id>, but there is no way to open or continue that same session in the Claude macOS desktop app.
Current behaviour (per the docs)
| Direction | Supported |
|---|---|
| Web -> terminal CLI | yes (--teleport) |
| Web -> desktop app | no |
| Desktop app -> web | yes ("Continue in -> Claude Code on the Web") |
| Terminal CLI -> web | yes (--cloud, new session) |
The desktop app's "Continue in" menu only pushes a local session out to the web. The web session menu offers "Open in -> Terminal" but no "Open in -> Desktop".
Expected
"Open in -> Desktop app" on a web session (or a way to accept a teleport from the desktop app), carrying the conversation history and checking out the pushed branch, the same way --teleport does for the terminal.
Why it matters
The desktop app is where I normally work. Web sessions are useful for kicking work off, but finishing it means either staying in the browser or dropping to a terminal, losing the desktop app's UI. Since --teleport already exists for the CLI, the missing edge feels like a gap rather than a design choice.
Environment
- Session started on claude.ai/code (remote cloud session)
- Claude desktop app for macOS