What I would do, is Hide the first user form  until I had gotten my values
out of it.

For instance, behind the click button of the first form:

Private Sub CommandButton1_Click()
Me.Hide
UserForm2.Show
End Sub

Then in the second UserForm,

Private Sub UserForm_Initialize()
UserForm2.TextBox1.Value = UserForm1.TextBox1.Value
Unload UserForm1
End Sub