The SNP leader admitted the word "national" could be "hugely problematic".
Kennedy: Consistency Key For Celtic
Celtic first-team coach John Kennedy insists consistency of selection is more important than strengthening the squad this summer.
Celtic have brought in Dedryck Boyata from Manchester City since the end of last season to replace loan defender Jason Denayer, whose agent has revealed he is in negotiations to extend his deal at the Etihad Stadium.
Celtic's first team is otherwise unchanged though and Kennedy believes that will stand them in good stead in their Champions League qualifying campaign, which begins with a second-round clash in mid-July with Icelandic champions Stjarnan, who knocked Motherwell out of last season's Europa League.
Kennedy said: "Consistency is important, and making sure players get used to playing with each other. When you bring new players in, it takes time for them to get settled in and learn what you want them to do.
"We have a squad of players now who know exactly what we want, they are comfortable in the environment, so we don't want to be adding five or six every transfer window, it doesn't make sense.''
Kennedy, who insisted the club had made no moves to sign Hibernian midfielder Scott Allan, added: "If we are going to add anybody, they need to be better than what we already have. If they are not, then there is no point adding numbers.
"We need quality at this moment. If one or two come along, great, and if not then we have a squad that's good enough to go and compete. We are very content with what we have.''
A police watchdog probe was launched after the remains of the 52-year-old were found in a house in Dumfries in February last year.
The accident happened at about 7.50pm on Thursday in Moodiesburn, North Lanarkshire.
More than 70 firefighters were needed to bring the blaze under control at Blochairn Fruit Market in the early hours of Thursday.
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