Israeli Peer, who won five WTA titles before losing to Nadia Petrova in Washington DC in July 2011, comfortably dismissed Linette of Poland 6-1 6-1 in an hour and nine minutes.
A five-time winner on the ITF singles circuit, Linette missed the chance to contest her first WTA final at the end of a week in which she beat both Julia Cohen and Krystina Pliskova, with 59 dropped points on her serve proving critical.
Peer will meet seventh seed Elina Svitolina in tomorrow's final after the Ukrainian teenager dismissed Alexandra Cadantu 6-1 6-4.
Svitolina, 18, reached her first WTA final after landing three aces past her Romanian opponent, who could only convert 42 per cent of the points available on her own serve.
Svitolina won the French Open juniors title in 2010 and claimed her first WTA 125s title last November in Pune, India.