on shaky ground
US /ɑn ˈʃeɪki ɡraʊnd/
UK /ɑn ˈʃeɪki ɡraʊnd/

1.
in an uncertain or unstable position; likely to fail or be challenged
:
•
His argument was on shaky ground because he lacked sufficient evidence.
•
After the scandal, the company's reputation was on shaky ground.