Rubuta ci gaba don wannan sakin layi - A ranar 2 ga Maris, 2015, a ranar ƙarshe na cinikin NHL, an yi ciniki da Connolly zuwa Boston Bruins a musayar zagaye na biyu na zagaye na biyu a 2015
da kuma 2016. A ranar 4 ga Maris, ya karya hannunsa a karo na biyu da ya yi tare da Bruins. A ranar 3 ga Afrilu, Connolly ya fara wasa tare da Bruins, yana yin rikodin tallafi biyu a nasarar Boston ta 3<unk>2 a kan Detroit Red Wings.